A213256 - OEIS

A213256

p(11n+6) where p(k) = number of partitions of k = A000041(k).

11, 297, 3718, 31185, 204226, 1121505, 5392783, 23338469, 92669720, 342325709, 1188908248, 3913864295, 12292341831, 37027355200, 107438159466, 301384802048, 819876908323, 2168627105469, 5590088317495, 14070545699287, 34643126322519, 83561103925871, 197726516681672, 459545750448675, 1050197489931117

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OFFSET

0,1

COMMENTS

It is known that a(n) is divisible by 11 (see A076394).

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..1000

K. Ono, On the Circular Summation of the Eleventh Powers of Ramanujan's Theta Function, Journal of Number Theory, Volume 76, Issue 1, May 1999, Pages 62-65.

Lasse Winquist, An elementary proof of p(11m+6) == 0 (mod 11), J. Combinatorial Theory 6 1969 56-59. MR0236136 (38 #4434). - From N. J. A. Sloane, Jun 07 2012

FORMULA

a(n) = A000041(A017461(n)). - Omar E. Pol, Jan 18 2013

MATHEMATICA

PartitionsP[11Range[0, 30]+6] (* Paolo Xausa, Nov 08 2023 *)

PROG

(PARI) a(n) = numbpart(11*n+6); \\ Michel Marcus, Jan 07 2015

CROSSREFS

Cf. A000041, A076394.

Sequence in context: A258191 A350938 A165390 * A067424 A001538 A101269

Adjacent sequences: A213253 A213254 A213255 * A213257 A213258 A213259

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jun 07 2012

STATUS

approved