A035373 Number of partitions of n into parts 5k+2 or 5k+4.

0, 1, 0, 2, 0, 2, 1, 3, 2, 3, 3, 5, 4, 7, 5, 10, 7, 13, 10, 16, 15, 20, 20, 26, 26, 34, 33, 45, 42, 56, 55, 70, 71, 86, 91, 109, 113, 136, 140, 170, 174, 209, 217, 255, 270, 311, 331, 381, 404, 465, 491, 565, 597, 681, 726, 820, 878, 985, 1056, 1185, 1265, 1419, 1515

Offset

1,4

Links

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

Formula

a(n) ~ exp(2*Pi*sqrt(n/15)) * Gamma(2/5) * Gamma(4/5) / (4 * 3^(7/20) * 5^(3/20) * Pi^(4/5) * n^(17/20)). - Vaclav Kotesovec, Aug 27 2015

Mathematica

nmax = 100; Rest[CoefficientList[Series[Product[1/((1 - x^(5k+2))*(1 - x^(5k+4))), {k, 0, nmax}], {x, 0, nmax}], x]] (* Vaclav Kotesovec, Aug 27 2015 *)

Crossrefs

Sequence in context: A204389 A070102 A029182 * A240138 A341975 A261387

Adjacent sequences: A035370 A035371 A035372 * A035374 A035375 A035376

Keyword

nonn

Author

Olivier Gérard

Status

approved