Index

_

__call__() (rec_sequences.DFiniteSequenceRing.DFiniteSequence method) __contains__() (rec_sequences.ArithmeticProgression.ArithmeticProgression method) (rec_sequences.DFiniteSequenceRing.DFiniteSequence method) __eq__() (rec_sequences.ArithmeticProgression.ArithmeticProgression method) (rec_sequences.SequenceFieldOfFraction.SequenceFieldOfFractionFunctor method) (rec_sequences.SequenceRingOfFraction.FractionSequence method) (rec_sequences.SequenceRingOfFraction.SequenceRingOfFractionFunctor method) (rec_sequences.SignPattern.SignPattern method) (rec_sequences.ZeroPattern.ZeroPattern method) __ge__() (rec_sequences.DFiniteSequenceRing.DFiniteSequence method) __getitem__() (rec_sequences.ArithmeticProgression.ArithmeticProgression method) (rec_sequences.CFiniteSequenceRing.CFiniteSequence method) (rec_sequences.SequenceRingOfFraction.FractionSequence method) (rec_sequences.SignPattern.SignPattern method) (rec_sequences.ZeroPattern.ZeroPattern method) __gt__() (rec_sequences.DFiniteSequenceRing.DFiniteSequence method) __init__() (rec_sequences.ArithmeticProgression.ArithmeticProgression method) (rec_sequences.C2FiniteSequenceRing.C2FiniteSequence method) (rec_sequences.C2FiniteSequenceRing.C2FiniteSequenceRing method) (rec_sequences.C2FiniteSequenceRingBounded.C2FiniteSequenceBounded method) (rec_sequences.C2FiniteSequenceRingBounded.C2FiniteSequenceRingBounded method) (rec_sequences.CFiniteSequenceRing.CFiniteSequence method) (rec_sequences.CFiniteSequenceRing.CFiniteSequenceRing method) (rec_sequences.CFiniteSequenceRing.CFiniteSequenceRingFunctor method) (rec_sequences.DFiniteSequenceRing.DFiniteSequence method) (rec_sequences.DFiniteSequenceRing.DFiniteSequenceRing method) (rec_sequences.DFiniteSequenceRing.DFiniteSequenceRingFunctor method) (rec_sequences.DifferenceDefinableSequenceRing.DifferenceDefinableSequence method) (rec_sequences.DifferenceDefinableSequenceRing.DifferenceDefinableSequenceRing method) (rec_sequences.DifferenceDefinableSequenceRing.DifferenceDefinableSequenceRingFunctor method) (rec_sequences.FunctionalEquation.FunctionalEquation method) (rec_sequences.RecurrenceSequenceRing.RecurrenceSequenceElement method) (rec_sequences.RecurrenceSequenceRing.RecurrenceSequenceRing method) (rec_sequences.RecurrenceSequenceRing.RecurrenceSequenceRingFunctor method) (rec_sequences.SequenceFieldOfFraction.FractionFieldSequence method) (rec_sequences.SequenceFieldOfFraction.SequenceFieldOfFraction method) (rec_sequences.SequenceFieldOfFraction.SequenceFieldOfFractionFunctor method) (rec_sequences.SequenceRingOfFraction.FractionSequence method) (rec_sequences.SequenceRingOfFraction.SequenceRingOfFraction method) (rec_sequences.SequenceRingOfFraction.SequenceRingOfFractionFunctor method) (rec_sequences.SignPattern.SignPattern method) (rec_sequences.ZeroPattern.ZeroPattern method) __invert__() (rec_sequences.DFiniteSequenceRing.DFiniteSequence method) (rec_sequences.SequenceFieldOfFraction.FractionFieldSequence method) (rec_sequences.SequenceRingOfFraction.FractionSequence method) __le__() (rec_sequences.DFiniteSequenceRing.DFiniteSequence method) __lt__() (rec_sequences.DFiniteSequenceRing.DFiniteSequence method) _add_() (rec_sequences.CFiniteSequenceRing.CFiniteSequence method) (rec_sequences.DFiniteSequenceRing.DFiniteSequence method) (rec_sequences.DifferenceDefinableSequenceRing.DifferenceDefinableSequence method) (rec_sequences.SequenceRingOfFraction.FractionSequence method)

_an_element_() (rec_sequences.RecurrenceSequenceRing.RecurrenceSequenceRing method) _element_constructor_() (rec_sequences.C2FiniteSequenceRing.C2FiniteSequenceRing method) (rec_sequences.C2FiniteSequenceRingBounded.C2FiniteSequenceRingBounded method) (rec_sequences.CFiniteSequenceRing.CFiniteSequenceRing method) (rec_sequences.DFiniteSequenceRing.DFiniteSequenceRing method) (rec_sequences.DifferenceDefinableSequenceRing.DifferenceDefinableSequenceRing method) (rec_sequences.SequenceRingOfFraction.SequenceRingOfFraction method) _eq_() (rec_sequences.CFiniteSequenceRing.CFiniteSequence method) (rec_sequences.RecurrenceSequenceRing.RecurrenceSequenceRing method) _latex_() (rec_sequences.ArithmeticProgression.ArithmeticProgression method) (rec_sequences.C2FiniteSequenceRing.C2FiniteSequence method) (rec_sequences.C2FiniteSequenceRing.C2FiniteSequenceRing method) (rec_sequences.C2FiniteSequenceRingBounded.C2FiniteSequenceBounded method) (rec_sequences.C2FiniteSequenceRingBounded.C2FiniteSequenceRingBounded method) (rec_sequences.CFiniteSequenceRing.CFiniteSequence method) (rec_sequences.CFiniteSequenceRing.CFiniteSequenceRing method) (rec_sequences.DFiniteSequenceRing.DFiniteSequence method) (rec_sequences.DFiniteSequenceRing.DFiniteSequenceRing method) (rec_sequences.DifferenceDefinableSequenceRing.DifferenceDefinableSequence method) (rec_sequences.DifferenceDefinableSequenceRing.DifferenceDefinableSequenceRing method) (rec_sequences.FunctionalEquation.FunctionalEquation method) (rec_sequences.SequenceRingOfFraction.FractionSequence method) (rec_sequences.SequenceRingOfFraction.SequenceRingOfFraction method) (rec_sequences.SignPattern.SignPattern method) (rec_sequences.ZeroPattern.ZeroPattern method) _mul_() (rec_sequences.CFiniteSequenceRing.CFiniteSequence method) (rec_sequences.DFiniteSequenceRing.DFiniteSequence method) (rec_sequences.DifferenceDefinableSequenceRing.DifferenceDefinableSequence method) (rec_sequences.SequenceRingOfFraction.FractionSequence method) _repr_() (rec_sequences.ArithmeticProgression.ArithmeticProgression method) (rec_sequences.C2FiniteSequenceRing.C2FiniteSequence method) (rec_sequences.C2FiniteSequenceRing.C2FiniteSequenceRing method) (rec_sequences.C2FiniteSequenceRingBounded.C2FiniteSequenceBounded method) (rec_sequences.C2FiniteSequenceRingBounded.C2FiniteSequenceRingBounded method) (rec_sequences.CFiniteSequenceRing.CFiniteSequence method) (rec_sequences.CFiniteSequenceRing.CFiniteSequenceRing method) (rec_sequences.CFiniteSequenceRing.CFiniteSequenceRingFunctor method) (rec_sequences.DFiniteSequenceRing.DFiniteSequence method) (rec_sequences.DFiniteSequenceRing.DFiniteSequenceRing method) (rec_sequences.DFiniteSequenceRing.DFiniteSequenceRingFunctor method) (rec_sequences.DifferenceDefinableSequenceRing.DifferenceDefinableSequence method) (rec_sequences.DifferenceDefinableSequenceRing.DifferenceDefinableSequenceRing method) (rec_sequences.DifferenceDefinableSequenceRing.DifferenceDefinableSequenceRingFunctor method) (rec_sequences.FunctionalEquation.FunctionalEquation method) (rec_sequences.SequenceFieldOfFraction.SequenceFieldOfFraction method) (rec_sequences.SequenceFieldOfFraction.SequenceFieldOfFractionFunctor method) (rec_sequences.SequenceRingOfFraction.FractionSequence method) (rec_sequences.SequenceRingOfFraction.SequenceRingOfFraction method) (rec_sequences.SequenceRingOfFraction.SequenceRingOfFractionFunctor method) (rec_sequences.ZeroPattern.ZeroPattern method)

A

additive_relations_ge() (rec_sequences.IntegerRelations.IntegerRelations static method) ann() (rec_sequences.DFiniteSequenceRing.DFiniteSequence method)

ArithmeticProgression (class in rec_sequences.ArithmeticProgression) associated_ore_algebra() (rec_sequences.DFiniteSequenceRing.DFiniteSequenceRing method)

B

base() (rec_sequences.CFiniteSequenceRing.CFiniteSequenceRing method) (rec_sequences.DFiniteSequenceRing.DFiniteSequenceRing method) (rec_sequences.DifferenceDefinableSequenceRing.DifferenceDefinableSequence method) (rec_sequences.DifferenceDefinableSequenceRing.DifferenceDefinableSequenceRing method) (rec_sequences.RecurrenceSequenceRing.RecurrenceSequenceElement method) (rec_sequences.RecurrenceSequenceRing.RecurrenceSequenceRing method) (rec_sequences.SequenceRingOfFraction.FractionSequence method) (rec_sequences.SequenceRingOfFraction.SequenceRingOfFraction method)

base_ring() (rec_sequences.RecurrenceSequenceRing.RecurrenceSequenceElement method) (rec_sequences.RecurrenceSequenceRing.RecurrenceSequenceRing method) (rec_sequences.SequenceRingOfFraction.FractionSequence method) (rec_sequences.SequenceRingOfFraction.SequenceRingOfFraction method)

C

C2FiniteSequence (class in rec_sequences.C2FiniteSequenceRing) C2FiniteSequenceBounded (class in rec_sequences.C2FiniteSequenceRingBounded) C2FiniteSequenceRing (class in rec_sequences.C2FiniteSequenceRing) C2FiniteSequenceRingBounded (class in rec_sequences.C2FiniteSequenceRingBounded) cauchy() (rec_sequences.CFiniteSequenceRing.CFiniteSequence method) (rec_sequences.DFiniteSequenceRing.DFiniteSequence method) ceil_SR() (in module rec_sequences.utility) ceil_SR_bound() (in module rec_sequences.utility) CFiniteSequence (class in rec_sequences.CFiniteSequenceRing) CFiniteSequenceRing (class in rec_sequences.CFiniteSequenceRing) CFiniteSequenceRingFunctor (class in rec_sequences.CFiniteSequenceRing) change_base_ring() (rec_sequences.DFiniteSequenceRing.DFiniteSequenceRing method) (rec_sequences.DifferenceDefinableSequenceRing.DifferenceDefinableSequenceRing method) (rec_sequences.SequenceFieldOfFraction.SequenceFieldOfFraction method) (rec_sequences.SequenceRingOfFraction.SequenceRingOfFraction method) charpoly() (rec_sequences.CFiniteSequenceRing.CFiniteSequence method)

clear_common_factor() (rec_sequences.DifferenceDefinableSequenceRing.DifferenceDefinableSequence method) clear_denominators() (rec_sequences.LinearSolveSequence.LinearSolveSequence class method) clear_divisor() (rec_sequences.LinearSolveSequence.LinearSolveSequence class method) closed_form() (rec_sequences.CFiniteSequenceRing.CFiniteSequence method) coefficients() (rec_sequences.DFiniteSequenceRing.DFiniteSequence method) (rec_sequences.DifferenceDefinableSequenceRing.DifferenceDefinableSequence method) (rec_sequences.RecurrenceSequenceRing.RecurrenceSequenceElement method) common_multiple() (rec_sequences.LinearSolveSequence.LinearSolveSequence class method) companion_matrix() (rec_sequences.DFiniteSequenceRing.DFiniteSequence method) (rec_sequences.DifferenceDefinableSequenceRing.DifferenceDefinableSequence method) compress() (rec_sequences.DFiniteSequenceRing.DFiniteSequence method) (rec_sequences.DifferenceDefinableSequenceRing.DifferenceDefinableSequence method) construction() (rec_sequences.CFiniteSequenceRing.CFiniteSequenceRing method) (rec_sequences.DFiniteSequenceRing.DFiniteSequenceRing method) (rec_sequences.RecurrenceSequenceRing.RecurrenceSequenceRing method) (rec_sequences.SequenceFieldOfFraction.SequenceFieldOfFraction method) (rec_sequences.SequenceRingOfFraction.SequenceRingOfFraction method)

D

d() (rec_sequences.SequenceRingOfFraction.FractionSequence method) decode_exceptions() (in module rec_sequences.utility) decompose_degenerate() (rec_sequences.CFiniteSequenceRing.CFiniteSequence method) degree() (rec_sequences.DFiniteSequenceRing.DFiniteSequence method) (rec_sequences.DifferenceDefinableSequenceRing.DifferenceDefinableSequence method) denominator() (rec_sequences.SequenceRingOfFraction.FractionSequence method) dfinite() (rec_sequences.CFiniteSequenceRing.CFiniteSequence method) DFiniteSequence (class in rec_sequences.DFiniteSequenceRing)

DFiniteSequenceRing (class in rec_sequences.DFiniteSequenceRing) DFiniteSequenceRingFunctor (class in rec_sequences.DFiniteSequenceRing) difference() (rec_sequences.RecurrenceSequenceRing.RecurrenceSequenceElement method) DifferenceDefinableSequence (class in rec_sequences.DifferenceDefinableSequenceRing) DifferenceDefinableSequenceRing (class in rec_sequences.DifferenceDefinableSequenceRing) DifferenceDefinableSequenceRingFunctor (class in rec_sequences.DifferenceDefinableSequenceRing) divides() (rec_sequences.DFiniteSequenceRing.DFiniteSequence method) dominant_root() (rec_sequences.CFiniteSequenceRing.CFiniteSequence method)

E

eigenvalues() (rec_sequences.C2FiniteSequenceRingBounded.C2FiniteSequenceBounded method) Element (rec_sequences.C2FiniteSequenceRing.C2FiniteSequenceRing attribute) (rec_sequences.C2FiniteSequenceRingBounded.C2FiniteSequenceRingBounded attribute) (rec_sequences.CFiniteSequenceRing.CFiniteSequenceRing attribute) (rec_sequences.DFiniteSequenceRing.DFiniteSequenceRing attribute) (rec_sequences.DifferenceDefinableSequenceRing.DifferenceDefinableSequenceRing attribute) (rec_sequences.RecurrenceSequenceRing.RecurrenceSequenceRing attribute) (rec_sequences.SequenceFieldOfFraction.SequenceFieldOfFraction attribute) (rec_sequences.SequenceRingOfFraction.SequenceRingOfFraction attribute)

encode_exceptions() (in module rec_sequences.utility) eval_matrix() (in module rec_sequences.utility) eval_vector() (in module rec_sequences.utility) eventually_non_zero() (rec_sequences.ZeroPattern.ZeroPattern method)

F

factorial() (rec_sequences.CFiniteSequenceRing.CFiniteSequence method) FractionFieldSequence (class in rec_sequences.SequenceFieldOfFraction) FractionSequence (class in rec_sequences.SequenceRingOfFraction)

from_zero_pattern() (rec_sequences.ZeroPattern.ZeroPattern class method) functional_equation() (rec_sequences.C2FiniteSequenceRing.C2FiniteSequence method) FunctionalEquation (class in rec_sequences.FunctionalEquation)

G

geometric() (rec_sequences.CFiniteSequenceRing.CFiniteSequenceRing static method) get_cycle() (rec_sequences.SignPattern.SignPattern method) get_cycle_length() (rec_sequences.SignPattern.SignPattern method) (rec_sequences.ZeroPattern.ZeroPattern method) get_cycle_start() (rec_sequences.SignPattern.SignPattern method) (rec_sequences.ZeroPattern.ZeroPattern method) get_diff() (rec_sequences.ArithmeticProgression.ArithmeticProgression method) get_finite_set() (rec_sequences.ZeroPattern.ZeroPattern method) get_initial_values() (rec_sequences.SignPattern.SignPattern method) get_negative_progressions() (rec_sequences.SignPattern.SignPattern method) get_ore_algebra_ring() (rec_sequences.DFiniteSequenceRing.DFiniteSequenceRing method)

get_ore_algebra_sequence() (rec_sequences.DFiniteSequenceRing.DFiniteSequence method) get_positive_progressions() (rec_sequences.SignPattern.SignPattern method) get_progressions() (rec_sequences.ZeroPattern.ZeroPattern method) get_shift() (rec_sequences.ArithmeticProgression.ArithmeticProgression method) (rec_sequences.DFiniteSequenceRing.DFiniteSequence method) get_zero_progressions() (rec_sequences.SignPattern.SignPattern method) guess() (rec_sequences.C2FiniteSequenceRing.C2FiniteSequenceRing method) (rec_sequences.CFiniteSequenceRing.CFiniteSequenceRing method) (rec_sequences.DFiniteSequenceRing.DFiniteSequenceRing method) (rec_sequences.SignPattern.SignPattern class method) (rec_sequences.ZeroPattern.ZeroPattern class method)

H

has_no_zeros() (rec_sequences.DFiniteSequenceRing.DFiniteSequence method)

I

initial_values() (rec_sequences.RecurrenceSequenceRing.RecurrenceSequenceElement method) integer_relations() (rec_sequences.IntegerRelations.IntegerRelations static method) integer_relations_ge() (rec_sequences.IntegerRelations.IntegerRelations static method) integer_relations_integers() (rec_sequences.IntegerRelations.IntegerRelations static method) integer_relations_kauers() (rec_sequences.IntegerRelations.IntegerRelations static method) IntegerRelations (class in rec_sequences.IntegerRelations) interlace() (rec_sequences.CFiniteSequenceRing.CFiniteSequence method) (rec_sequences.DFiniteSequenceRing.DFiniteSequence method) (rec_sequences.DifferenceDefinableSequenceRing.DifferenceDefinableSequence method) (rec_sequences.SequenceRingOfFraction.FractionSequence method) is_commutative() (rec_sequences.RecurrenceSequenceRing.RecurrenceSequenceRing method) (rec_sequences.SequenceFieldOfFraction.SequenceFieldOfFraction method) (rec_sequences.SequenceRingOfFraction.SequenceRingOfFraction method) is_degenerate() (rec_sequences.CFiniteSequenceRing.CFiniteSequence method) is_eventually_positive() (rec_sequences.CFiniteSequenceRing.CFiniteSequence method) (rec_sequences.DFiniteSequenceRing.DFiniteSequence method) is_exact() (rec_sequences.RecurrenceSequenceRing.RecurrenceSequenceRing method) (rec_sequences.SequenceRingOfFraction.SequenceRingOfFraction method) is_field() (rec_sequences.RecurrenceSequenceRing.RecurrenceSequenceRing method) (rec_sequences.SequenceFieldOfFraction.SequenceFieldOfFraction method) (rec_sequences.SequenceRingOfFraction.SequenceRingOfFraction method) is_finite() (rec_sequences.RecurrenceSequenceRing.RecurrenceSequenceRing method) (rec_sequences.SequenceRingOfFraction.SequenceRingOfFraction method) is_gen() (rec_sequences.RecurrenceSequenceRing.RecurrenceSequenceElement method) (rec_sequences.SequenceRingOfFraction.FractionSequence method)

is_integral_domain() (rec_sequences.RecurrenceSequenceRing.RecurrenceSequenceRing method) (rec_sequences.SequenceFieldOfFraction.SequenceFieldOfFraction method) (rec_sequences.SequenceRingOfFraction.SequenceRingOfFraction method) is_negative() (rec_sequences.SignPattern.SignPattern method) is_noetherian() (rec_sequences.RecurrenceSequenceRing.RecurrenceSequenceRing method) (rec_sequences.SequenceFieldOfFraction.SequenceFieldOfFraction method) (rec_sequences.SequenceRingOfFraction.SequenceRingOfFraction method) is_positive() (rec_sequences.CFiniteSequenceRing.CFiniteSequence method) (rec_sequences.DFiniteSequenceRing.DFiniteSequence method) (rec_sequences.SignPattern.SignPattern method) is_positive_algo1() (rec_sequences.CFiniteSequenceRing.CFiniteSequence method) is_positive_algo2() (rec_sequences.CFiniteSequenceRing.CFiniteSequence method) is_positive_dominant_root() (rec_sequences.CFiniteSequenceRing.CFiniteSequence method) is_positive_dominant_root_decompose() (rec_sequences.CFiniteSequenceRing.CFiniteSequence method) is_root_of_unity() (in module rec_sequences.utility) is_squarefree() (rec_sequences.CFiniteSequenceRing.CFiniteSequence method) is_unit() (rec_sequences.RecurrenceSequenceRing.RecurrenceSequenceElement method) (rec_sequences.SequenceFieldOfFraction.FractionFieldSequence method) (rec_sequences.SequenceRingOfFraction.FractionSequence method) is_zero() (rec_sequences.ArithmeticProgression.ArithmeticProgression method) (rec_sequences.RecurrenceSequenceRing.RecurrenceSequenceElement method) (rec_sequences.SignPattern.SignPattern method) (rec_sequences.ZeroPattern.ZeroPattern method)

L

leading_coefficient() (rec_sequences.RecurrenceSequenceRing.RecurrenceSequenceElement method) LinearSolveSequence (class in rec_sequences.LinearSolveSequence) log (rec_sequences.C2FiniteSequenceRing.C2FiniteSequence attribute) (rec_sequences.C2FiniteSequenceRingBounded.C2FiniteSequenceBounded attribute) (rec_sequences.C2FiniteSequenceRingBounded.C2FiniteSequenceRingBounded attribute) (rec_sequences.CFiniteSequenceRing.CFiniteSequence attribute) (rec_sequences.DFiniteSequenceRing.DFiniteSequence attribute) (rec_sequences.DifferenceDefinableSequenceRing.DifferenceDefinableSequence attribute) (rec_sequences.DifferenceDefinableSequenceRing.DifferenceDefinableSequenceRing attribute) (rec_sequences.IntegerRelations.IntegerRelations attribute) (rec_sequences.LinearSolveSequence.LinearSolveSequence attribute)

log() (in module rec_sequences.utility)

M

matrix_subsequence() (in module rec_sequences.utility) merge() (rec_sequences.RecurrenceSequenceRing.RecurrenceSequenceRingFunctor method) (rec_sequences.SequenceFieldOfFraction.SequenceFieldOfFractionFunctor method) (rec_sequences.SequenceRingOfFraction.SequenceRingOfFractionFunctor method) module rec_sequences.ArithmeticProgression rec_sequences.C2FiniteSequenceRing rec_sequences.C2FiniteSequenceRingBounded rec_sequences.CFiniteSequenceRing rec_sequences.DFiniteSequenceRing rec_sequences.DifferenceDefinableSequenceRing rec_sequences.FunctionalEquation rec_sequences.IntegerRelations rec_sequences.LinearSolveSequence rec_sequences.RecurrenceSequenceRing rec_sequences.SequenceFieldOfFraction rec_sequences.SequenceRingOfFraction rec_sequences.SignPattern rec_sequences.utility rec_sequences.ZeroPattern

multiple() (rec_sequences.DifferenceDefinableSequenceRing.DifferenceDefinableSequence method)

N

n() (rec_sequences.SequenceRingOfFraction.FractionSequence method) name() (rec_sequences.RecurrenceSequenceRing.RecurrenceSequenceElement method) nomial_coefficient() (rec_sequences.RecurrenceSequenceRing.RecurrenceSequenceElement method) non_zero() (rec_sequences.SignPattern.SignPattern method) (rec_sequences.ZeroPattern.ZeroPattern method)

non_zero_start() (rec_sequences.ZeroPattern.ZeroPattern method) nonzero_trailing_coefficient() (rec_sequences.CFiniteSequenceRing.CFiniteSequence method) normalized() (rec_sequences.CFiniteSequenceRing.CFiniteSequence method) numerator() (rec_sequences.SequenceRingOfFraction.FractionSequence method)

O

one() (rec_sequences.RecurrenceSequenceRing.RecurrenceSequenceRing method) (rec_sequences.SequenceRingOfFraction.SequenceRingOfFraction method)

order() (rec_sequences.RecurrenceSequenceRing.RecurrenceSequenceElement method) (rec_sequences.SequenceRingOfFraction.FractionSequence method)

P

pattern() (rec_sequences.ZeroPattern.ZeroPattern method) polynomial() (rec_sequences.CFiniteSequenceRing.CFiniteSequenceRing static method) prec() (rec_sequences.RecurrenceSequenceRing.RecurrenceSequenceElement method) (rec_sequences.SequenceRingOfFraction.FractionSequence method)

prepend() (rec_sequences.DFiniteSequenceRing.DFiniteSequence method) (rec_sequences.RecurrenceSequenceRing.RecurrenceSequenceElement method) (rec_sequences.SequenceRingOfFraction.FractionSequence method)

R

random_element() (rec_sequences.CFiniteSequenceRing.CFiniteSequenceRing method) (rec_sequences.DifferenceDefinableSequenceRing.DifferenceDefinableSequenceRing method) (rec_sequences.SequenceFieldOfFraction.SequenceFieldOfFraction method) (rec_sequences.SequenceRingOfFraction.SequenceRingOfFraction method) random_element_from_initial_values() (rec_sequences.CFiniteSequenceRing.CFiniteSequenceRing method) random_monic_element() (rec_sequences.DifferenceDefinableSequenceRing.DifferenceDefinableSequenceRing method) rec_sequences.ArithmeticProgression module rec_sequences.C2FiniteSequenceRing module rec_sequences.C2FiniteSequenceRingBounded module rec_sequences.CFiniteSequenceRing module rec_sequences.DFiniteSequenceRing module rec_sequences.DifferenceDefinableSequenceRing module rec_sequences.FunctionalEquation module rec_sequences.IntegerRelations module

rec_sequences.LinearSolveSequence module rec_sequences.RecurrenceSequenceRing module rec_sequences.SequenceFieldOfFraction module rec_sequences.SequenceRingOfFraction module rec_sequences.SignPattern module rec_sequences.utility module rec_sequences.ZeroPattern module recurrence() (rec_sequences.DFiniteSequenceRing.DFiniteSequence method) (rec_sequences.FunctionalEquation.FunctionalEquation method) RecurrenceSequenceElement (class in rec_sequences.RecurrenceSequenceRing) RecurrenceSequenceRing (class in rec_sequences.RecurrenceSequenceRing) RecurrenceSequenceRingFunctor (class in rec_sequences.RecurrenceSequenceRing) repr_cycle() (rec_sequences.SignPattern.SignPattern method) repr_initial_values() (rec_sequences.SignPattern.SignPattern method) roots() (rec_sequences.CFiniteSequenceRing.CFiniteSequence method)

S

sequence() (rec_sequences.FunctionalEquation.FunctionalEquation method) SequenceFieldOfFraction (class in rec_sequences.SequenceFieldOfFraction) SequenceFieldOfFractionFunctor (class in rec_sequences.SequenceFieldOfFraction) SequenceRingOfFraction (class in rec_sequences.SequenceRingOfFraction) SequenceRingOfFractionFunctor (class in rec_sequences.SequenceRingOfFraction) shift() (rec_sequences.DFiniteSequenceRing.DFiniteSequence method) (rec_sequences.RecurrenceSequenceRing.RecurrenceSequenceElement method) (rec_sequences.SequenceRingOfFraction.FractionSequence method) shift_matrix() (in module rec_sequences.utility) shift_rat_vector() (in module rec_sequences.utility) shift_vector() (in module rec_sequences.utility) sign_pattern() (rec_sequences.DFiniteSequenceRing.DFiniteSequence method) SignPattern (class in rec_sequences.SignPattern)

simplified() (rec_sequences.SequenceRingOfFraction.FractionSequence method) solve() (rec_sequences.LinearSolveSequence.LinearSolveSequence class method) sparse_subsequence() (rec_sequences.CFiniteSequenceRing.CFiniteSequence method) split_list() (in module rec_sequences.utility) split_list_rec() (in module rec_sequences.utility) subsequence() (rec_sequences.C2FiniteSequenceRingBounded.C2FiniteSequenceBounded method) (rec_sequences.CFiniteSequenceRing.CFiniteSequence method) (rec_sequences.DFiniteSequenceRing.DFiniteSequence method) (rec_sequences.DifferenceDefinableSequenceRing.DifferenceDefinableSequence method) (rec_sequences.SequenceRingOfFraction.FractionSequence method) sum() (rec_sequences.CFiniteSequenceRing.CFiniteSequence method) (rec_sequences.DFiniteSequenceRing.DFiniteSequence method) (rec_sequences.RecurrenceSequenceRing.RecurrenceSequenceElement method)

T

timeout() (in module rec_sequences.utility) TimeoutError

to_dependencies() (rec_sequences.CFiniteSequenceRing.CFiniteSequence method) to_sage() (rec_sequences.CFiniteSequenceRing.CFiniteSequence method) torsion_number() (rec_sequences.C2FiniteSequenceRingBounded.C2FiniteSequenceBounded method)

V

vector_interlace() (in module rec_sequences.utility)

vector_subsequence() (in module rec_sequences.utility) verified() (rec_sequences.DifferenceDefinableSequenceRing.DifferenceDefinableSequenceRing method)

W

with_guessing() (rec_sequences.DifferenceDefinableSequenceRing.DifferenceDefinableSequenceRing method)

Z

zero() (rec_sequences.RecurrenceSequenceRing.RecurrenceSequenceRing method) (rec_sequences.SequenceRingOfFraction.SequenceRingOfFraction method)

ZeroPattern (class in rec_sequences.ZeroPattern) zeros() (rec_sequences.DFiniteSequenceRing.DFiniteSequence method) (rec_sequences.SequenceRingOfFraction.FractionSequence method)