IntegerSequences swMATH ID: 25549 Software Authors: Rowland, Eric Description: IntegerSequences: a package for computing with k-regular sequences. IntegerSequences is a Mathematica package for computing with integer sequences. Its support for k-regular sequences includes basic closure properties, guessing recurrences, and computing automata. Recent applications have included establishing the structure of extremal a/b-power-free words, obtaining a product formula for the generating function enumerating binomial coefficients by their p-adic valuations, and proving congruences for combinatorial sequences modulo prime powers. Homepage: https://people.hofstra.edu/Eric_Rowland/packages.html#IntegerSequences Dependencies: Mathematica Keywords: integer sequences; regular sequences; automatic sequences Related Software: SageMath; Mathematica; OEIS; Magma; SINGULAR; 3BA; ATAME; Axl; Francy; DiscreteZOO; libtropicon; Theoryguru; Polytop; HomotopyContinuation; Orbiter; Paramotopy; Macaulay2 Cited in: 5 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year IntegerSequences: a package for computing with \(k\)-regular sequences. Zbl 1398.11161Rowland, Eric 2018 all top 5 Cited by 11 Authors 1 Byszewski, Jakub 1 Cornelissen, Gunther 1 Davenport, James Harold 1 Kauers, Manuel 1 Labahn, George 1 Rigo, Michel 1 Rowland, Eric S. 1 Stipulanti, Manon 1 Straub, Armin 1 Tijsma, Djurre 1 Urban, Josef Cited in 4 Serials 1 Discrete Mathematics 1 Journal of Algebra 1 Lecture Notes in Computer Science 1 Research in Number Theory Cited in 5 Fields 5 Computer science (68-XX) 4 Number theory (11-XX) 1 General and overarching topics; collections (00-XX) 1 Group theory and generalizations (20-XX) 1 Numerical analysis (65-XX) Citations by Year