A035374 Number of partitions of n into parts 5k+3 or 5k+4.

0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 4, 3, 3, 4, 6, 6, 7, 7, 9, 11, 12, 12, 16, 17, 20, 23, 25, 27, 33, 36, 41, 44, 50, 57, 66, 69, 77, 88, 100, 107, 120, 131, 149, 165, 180, 196, 222, 242, 268, 293, 323, 353, 394, 428, 470, 513, 565, 617, 680, 734, 805, 882, 966, 1046

Offset

1,8

Links

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

Formula

a(n) ~ exp(2*Pi*sqrt(n/15)) * Gamma(3/5) * Gamma(4/5) / (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+3))*(1 - x^(5k+4))), {k, 0, nmax}], {x, 0, nmax}], x]] (* Vaclav Kotesovec, Aug 27 2015 *)

Crossrefs

Sequence in context: A144963 A305632 A329069 * A229219 A048299 A232084

Adjacent sequences: A035371 A035372 A035373 * A035375 A035376 A035377

Keyword

nonn

Author

Olivier Gérard

Status

approved