cluesurf/integer
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… See the full description on the dataset page: https://huggingface.co/datasets/cluesurf/integer.
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1---2license: cc0-1.03pretty_name: "Integer Sequences"4tags:5 - mathematics6 - integers7 - sequences8 - primes9 - combinatorics10 - number-theory11---12 13# Integer Sequences14 15Many integer sequences as one-value-per-line CSV files.16Generated from formulas, recurrences, sieves, and filters.17Primes sourced from https://t5k.org.18 19## Contents20 21Each file in `base/` holds one sequence, one integer per line,22sorted ascending.23 24### Figurate and geometric25 26- `triangular`, `pentagonal`, `hexagonal`, `heptagonal`, `star`27- `pow-2`, `pow-3`, `pow-5`, `pow-7`28- `tetrahedral`, `pentatope`, `octahedral`29- `square-pyramidal`, `stella-octangula`30- `icosahedral`, `dodecahedral`, `rhombic-dodecahedral`31- `truncated-tetrahedral`, `truncated-octahedral`, `truncated-cube`32- `centered-triangular`, `centered-square`, `centered-pentagonal`,33 `centered-hexagonal`, `centered-heptagonal`, `centered-octagonal`,34 `centered-decagonal`35- `N-gonal-pyramidal` (3 through 20)36- `N-centered-polygonal` (3 through 11)37- `pronic`38 39### Recurrence-based40 41- `fibonacci`, `lucas`, `padovan`, `tribonacci`, `pell`, `jacobsthal`42- `catalan`, `bell`, `motzkin`, `delannoy`, `derangement`43- `partition`, `planar-partitions`44- `euler-number`, `stirling-second`45- `look-and-say`, `sylvester`, `recaman`, `stern-brocot`46 47### Prime and factoring48 49- `prime` (50 million, from t5k.org)50- `twin-prime`, `safe-prime`, `sophie-germain-prime`, `super-prime`51- `semiprime`, `sphenic`, `composite`52- `square-free`, `powerful`53- `primorial`54 55### Digit and filter56 57- `palindromic`, `happy`, `harshad`, `abundant`, `deficient`58- `binary-even` (evil numbers), `smith`, `lucky`59- `undulating`, `narcissistic`, `automorphic`, `kaprekar`60- `collatz-length`, `euler-totient`, `divisors`61 62### Other63 64- `natural`, `n-eq-3-mod-4`, `factorial`, `repunit`65- `binary-base-tree` (Wedderburn-Etherington)66- `highly-composite`, `amicable`67- Static lookups: `perfect`, `weird`, `order-of-simple-groups`,68 `connected-planar-graph`, `number-of-connected-graphs`,69 `planar-graph`, `irreducible-polynomials`70 71## Sources72 73- **The Prime Pages (t5k.org)**: https://t5k.org/lists/small/millions/74- **OEIS**: https://oeis.org (reference for sequence definitions)75 76## License77 78CC0-1.0. The sequences are mathematical facts, not creative works.79 