A035369 Number of partitions of n into parts 5k or 5k+3.

0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 4, 2, 4, 5, 2, 8, 5, 7, 10, 5, 14, 11, 12, 19, 11, 24, 21, 22, 33, 22, 41, 38, 37, 58, 40, 67, 68, 63, 95, 73, 108, 114, 105, 155, 124, 173, 188, 171, 246, 208, 270, 303, 274, 385, 338, 418, 477, 435, 590, 539, 640, 738, 676, 898, 840

Offset

1,8

Links

Table of n, a(n) for n=1..67.

Formula

a(n) ~ exp(2*Pi*sqrt(n/15)) * 5^(1/20) * Gamma(3/5) / (4 * 3^(11/20) * Pi^(2/5) * n^(21/20)). - Vaclav Kotesovec, Aug 27 2015

Mathematica

nmax = 100; Rest[CoefficientList[Series[Product[1/((1 - x^(5k+5))*(1 - x^(5k+3))), {k, 0, nmax}], {x, 0, nmax}], x]] (* Vaclav Kotesovec, Aug 27 2015 *)

Crossrefs

Sequence in context: A115311 A035436 A242210 * A129719 A062602 A123148

Adjacent sequences: A035366 A035367 A035368 * A035370 A035371 A035372

Keyword

nonn

Author

Olivier Gérard

Status

approved