A035368 Number of partitions of n into parts 5k or 5k+2.

0, 1, 0, 1, 1, 1, 2, 1, 2, 3, 2, 5, 2, 6, 5, 6, 9, 6, 11, 11, 12, 18, 12, 23, 19, 25, 31, 26, 40, 37, 45, 56, 47, 73, 63, 83, 93, 88, 121, 112, 140, 158, 150, 205, 185, 238, 254, 258, 328, 310, 385, 412, 420, 528, 496, 621, 645, 683, 820, 796, 969, 1011, 1072, 1274

Offset

1,7

Links

Table of n, a(n) for n=1..64.

Formula

a(n) ~ exp(2*Pi*sqrt(n/15)) * Gamma(2/5) / (4 * 3^(9/20) * 5^(1/20) * Pi^(3/5) * n^(19/20)). - Vaclav Kotesovec, Aug 27 2015

Mathematica

nmax = 100; Rest[CoefficientList[Series[Product[1/((1 - x^(5k+5))*(1 - x^(5k+2))), {k, 0, nmax}], {x, 0, nmax}], x]] (* Vaclav Kotesovec, Aug 27 2015 *)

Crossrefs

Sequence in context: A241949 A288126 A214720 * A249686 A107853 A054758

Adjacent sequences: A035365 A035366 A035367 * A035369 A035370 A035371

Keyword

nonn

Author

Olivier Gérard

Status

approved