A035375 Number of partitions of n into parts 6k or 6k+1.

1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 5, 7, 8, 8, 8, 8, 11, 15, 17, 18, 18, 18, 23, 30, 35, 37, 38, 38, 45, 57, 66, 71, 73, 74, 85, 104, 121, 131, 136, 138, 154, 184, 212, 231, 241, 246, 270, 316, 363, 396, 416, 426, 461, 530, 604, 661, 696, 716, 768, 870, 986, 1079

Offset

1,6

Links

Table of n, a(n) for n=1..63.

Formula

a(n) ~ exp(Pi*sqrt(2*n)/3) * Gamma(1/6) / (4 * 2^(1/6) * sqrt(3) * Pi^(5/6) * n^(5/6)). - Vaclav Kotesovec, Aug 27 2015

Mathematica

nmax = 100; Rest[CoefficientList[Series[Product[1/((1 - x^(6k+6))*(1 - x^(6k+1))), {k, 0, nmax}], {x, 0, nmax}], x]] (* Vaclav Kotesovec, Aug 27 2015 *)

Crossrefs

Sequence in context: A029110 A249420 A103959 * A354143 A358616 A366105

Adjacent sequences: A035372 A035373 A035374 * A035376 A035377 A035378

Keyword

nonn

Author

Olivier Gérard

Status

approved