IntegerSequences 1.52

documentation notebook
Eric Rowland
​https://ericrowland.github.io/packages.html

Introduction

IntegerSequences is a package for identifying and computing with integer sequences from a variety of classes.
This introduction gives an overview of the main features of the package; the next section provides a complete list of package symbols along with their usage messages and further examples.
To use IntegerSequences, first you will need to load the package by evaluating the following cell. (If you need help, see loading a package.)
<<IntegerSequences`

Named integer sequences


OEIS lookup


Elementary number theory


Polynomials and formal power series


Identifying integer sequences


Automata and automatic sequences


Regular sequences


Package symbols

AlgebraicSequence


AperyNumber


AutomaticSequence


AutomaticSequenceAutomaton


AutomaticSequenceReduce


Automaton


MorphismAdjacencyMatrix


AutomatonDeterminize


AutomatonGraph


AutomatonInputAlphabet


AutomatonMinimize


AutomatonOutputAlphabet


AutomatonOutputRules


AutomatonProduct


AutomatonQ


AutomatonReverse


AutomatonStateCount


AutomatonStateList


BaumSweet


CauchyProduct


CompleteAutomatonQ


ConstantTermSequence


ConstantTermSequenceReduce


DeterministicAutomatonQ


DiagonalSequence


DiagonalSequenceReduce


DigitGet (a generalization of BitGet)


DigitList (a variant and generalization of IntegerDigits)


DigitsCount (a generalization of DigitCount)


ExponentialFit


FactorForm


FactorGrid


FindAutomaticSequenceAutomaton


FindAutomaticSequenceFunction


FindAutomaticSequenceRecurrence


FindPolynomial (a variant of InterpolatingPolynomial)


FindQuasiPolynomial


FindRegularSequenceFunction


FindRegularSequenceRecurrence


FromCoefficientList


FromDigitList (a variant and generalization of FromDigits)


FromRecurrence


GeneratingFunctionRelations


IntegerPrepend


JacobsthalNumber


LaurentPolynomialCoefficientList (a generalization of CoefficientList)


MorphismAdjacencyMatrix


MorphismPower


MotzkinNumber


OrePolynomial


OrePolynomial


Radical


RegularSequence


RegularSequenceGeneratorTable


RegularSequenceMatrixForm


RegularSequenceMatrixLength


RegularSequenceRecurrence


RegularSequenceReduce


SequenceRiffle


SternBrocot
