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A035458 Number of partitions of n into parts 8k+2 or 8k+7. 0
0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 3, 2, 3, 3, 4, 3, 5, 4, 6, 5, 7, 7, 8, 8, 10, 9, 13, 11, 15, 14, 17, 17, 20, 20, 24, 23, 29, 28, 33, 33, 38, 39, 45, 45, 53, 53, 61, 62, 70, 72, 81, 83, 95, 96, 108, 111, 124, 128, 142, 147, 164, 168, 187, 193, 212, 221, 242, 252, 277 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,10

LINKS

Table of n, a(n) for n=1..72.

FORMULA

a(n) ~ exp(Pi*sqrt(n/6)) * Gamma(7/8) * Gamma(1/4) / (4 * 2^(9/16) * 3^(5/16) * Pi^(7/8) * n^(13/16)). - Vaclav Kotesovec, Aug 26 2015

MATHEMATICA

nmax = 100; Rest[CoefficientList[Series[Product[1/((1 - x^(8k+2))*(1 - x^(8k+7))), {k, 0, nmax}], {x, 0, nmax}], x]] (* Vaclav Kotesovec, Aug 26 2015 *)

CROSSREFS

Sequence in context: A271315 A212813 A112219 * A259771 A194902 A194874

Adjacent sequences:  A035455 A035456 A035457 * A035459 A035460 A035461

KEYWORD

nonn

AUTHOR

Olivier Gérard

STATUS

approved

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Last modified May 31 22:45 EDT 2020. Contains 334756 sequences. (Running on oeis4.)