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A035467 Number of partitions of n into parts 8k+5 or 8k+7. 0
0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 3, 2, 2, 2, 1, 3, 3, 3, 5, 3, 5, 4, 3, 6, 5, 8, 8, 6, 8, 7, 9, 11, 11, 13, 13, 13, 15, 14, 16, 20, 20, 23, 23, 22, 26, 26, 31, 34, 34, 39, 39, 40, 45, 46, 52, 58, 58, 65, 64, 68, 77, 77, 89, 93, 96, 107, 105, 115, 124, 128, 145 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,15

LINKS

Table of n, a(n) for n=1..80.

FORMULA

a(n) ~ exp(Pi*sqrt(n/6)) * Gamma(5/8) * Gamma(7/8) / (4 * sqrt(3*Pi) * n). - Vaclav Kotesovec, Aug 27 2015

MATHEMATICA

nmax = 100; Rest[CoefficientList[Series[Product[1/((1 - x^(8k+5))*(1 - x^(8k+7))), {k, 0, nmax}], {x, 0, nmax}], x]] (* Vaclav Kotesovec, Aug 27 2015 *)

CROSSREFS

Sequence in context: A175358 A235330 A029394 * A254045 A024996 A187596

Adjacent sequences:  A035464 A035465 A035466 * A035468 A035469 A035470

KEYWORD

nonn

AUTHOR

Olivier Gérard

STATUS

approved

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Last modified August 3 04:30 EDT 2020. Contains 336197 sequences. (Running on oeis4.)