A035431 Number of partitions of n into parts 7k+2 or 7k+3.

0, 1, 1, 1, 1, 2, 1, 2, 3, 3, 3, 5, 4, 5, 6, 7, 7, 10, 10, 12, 13, 15, 16, 19, 20, 24, 26, 29, 32, 37, 38, 45, 49, 54, 59, 68, 71, 80, 88, 97, 104, 118, 126, 139, 151, 167, 179, 199, 214, 236, 254, 278, 300, 329, 352, 387, 417, 452, 487, 533, 568, 619, 668, 722, 774

Offset

1,6

Links

Table of n, a(n) for n=1..65.

Formula

a(n) ~ exp(2*Pi*sqrt(n/21)) * Gamma(2/7) * Gamma(3/7) / (4 * 3^(3/28) * 7^(11/28) * Pi^(9/7) * n^(17/28)). - Vaclav Kotesovec, Aug 26 2015

Mathematica

nmax = 100; Rest[CoefficientList[Series[Product[1/((1 - x^(7k+2))*(1 - x^(7k+3))), {k, 0, nmax}], {x, 0, nmax}], x]] (* Vaclav Kotesovec, Aug 26 2015 *)

Crossrefs

Sequence in context: A241091 A137719 A029165 * A008681 A362559 A097242

Adjacent sequences: A035428 A035429 A035430 * A035432 A035433 A035434

Keyword

nonn

Author

Olivier Gérard

Status

approved