A072870 A Ramanujan congruence modulo 5^2 related to partition numbers: a(n) = p(25n+24)/25 where p(k) is the k-th partition number.

63, 6941, 283580, 6769195, 113677620, 1481094208, 15885002990, 145842897285, 1178181997670, 8545476792825, 56509982606938, 344819851018601, 1960225745409515, 10463156294045765, 52780423989098940, 252984859300171773, 1157521490283391926, 5075661707639256720, 21402787014064290485

Offset

0,1

Links

Amiram Eldar, Table of n, a(n) for n = 0..1000

Mathematica

a[n_] := PartitionsP[25*n+24] / 25; Array[a, 20, 0] (* Amiram Eldar, Jan 17 2025 *)

Prog

(PARI) a(n) = numbpart(25*n+24) / 25; \\ Amiram Eldar, Jan 17 2025

Crossrefs

Cf. A000041.

Sequence in context: A292782 A251011 A234616 * A093263 A069433 A178634

Adjacent sequences: A072867 A072868 A072869 * A072871 A072872 A072873

Keyword

easy,nonn

Author

Benoit Cloitre, Jul 28 2002

Extensions

Offset changed to 0, a(0) prepended, and more terms added by Amiram Eldar, Jan 17 2025

Status

approved