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A035452 Number of partitions of n into parts 8k+1 or 8k+6. 0
1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 5, 6, 6, 7, 9, 9, 10, 11, 12, 14, 16, 17, 19, 21, 23, 25, 28, 31, 34, 37, 41, 44, 49, 53, 57, 63, 69, 74, 82, 88, 95, 104, 112, 121, 133, 142, 154, 167, 179, 193, 209, 224, 243, 261, 280, 301, 324, 347, 373, 400, 430, 460, 494, 528 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,6

LINKS

Table of n, a(n) for n=1..67.

FORMULA

a(n) ~ exp(Pi*sqrt(n/6)) * Gamma(3/4) * Gamma(1/8) / (4 * 2^(15/16) * 3^(3/16) * Pi^(9/8) * n^(11/16)). - Vaclav Kotesovec, Aug 26 2015

MATHEMATICA

nmax = 100; Rest[CoefficientList[Series[Product[1/((1 - x^(8k+1))*(1 - x^(8k+6))), {k, 0, nmax}], {x, 0, nmax}], x]] (* Vaclav Kotesovec, Aug 26 2015 *)

CROSSREFS

Sequence in context: A025771 A154403 A053265 * A199575 A120187 A029062

Adjacent sequences:  A035449 A035450 A035451 * A035453 A035454 A035455

KEYWORD

nonn

AUTHOR

Olivier Gérard

STATUS

approved

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Last modified January 29 01:42 EST 2020. Contains 331328 sequences. (Running on oeis4.)