README.md

metadata

license: cc0-1.0
pretty_name: Integer Sequences
tags:
  - mathematics
  - integers
  - sequences
  - primes
  - combinatorics
  - number-theory

Integer Sequences

Many integer sequences as one-value-per-line CSV files. Generated from formulas, recurrences, sieves, and filters. Primes sourced from https://t5k.org.

Contents

Each file in base/ holds one sequence, one integer per line, sorted ascending.

Figurate and geometric

• triangular, pentagonal, hexagonal, heptagonal, star
• pow-2, pow-3, pow-5, pow-7
• tetrahedral, pentatope, octahedral
• square-pyramidal, stella-octangula
• icosahedral, dodecahedral, rhombic-dodecahedral
• truncated-tetrahedral, truncated-octahedral, truncated-cube
• centered-triangular, centered-square, centered-pentagonal, centered-hexagonal, centered-heptagonal, centered-octagonal, centered-decagonal
• N-gonal-pyramidal (3 through 20)
• N-centered-polygonal (3 through 11)
• pronic

Recurrence-based

• fibonacci, lucas, padovan, tribonacci, pell, jacobsthal
• catalan, bell, motzkin, delannoy, derangement
• partition, planar-partitions
• euler-number, stirling-second
• look-and-say, sylvester, recaman, stern-brocot

Prime and factoring

• prime (50 million, from t5k.org)
• twin-prime, safe-prime, sophie-germain-prime, super-prime
• semiprime, sphenic, composite
• square-free, powerful
• primorial

Digit and filter

• palindromic, happy, harshad, abundant, deficient
• binary-even (evil numbers), smith, lucky
• undulating, narcissistic, automorphic, kaprekar
• collatz-length, euler-totient, divisors

Other

• natural, n-eq-3-mod-4, factorial, repunit
• binary-base-tree (Wedderburn-Etherington)
• highly-composite, amicable
• Static lookups: perfect, weird, order-of-simple-groups, connected-planar-graph, number-of-connected-graphs, planar-graph, irreducible-polynomials

Sources

• The Prime Pages (t5k.org): https://t5k.org/lists/small/millions/
• OEIS: https://oeis.org (reference for sequence definitions)

License

CC0-1.0. The sequences are mathematical facts, not creative works.