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A035432 Number of partitions of n into parts 7k+2 or 7k+4. 0
0, 1, 0, 2, 0, 2, 0, 3, 1, 3, 2, 4, 3, 4, 4, 6, 5, 8, 6, 11, 7, 14, 9, 17, 12, 20, 17, 23, 22, 27, 28, 33, 34, 41, 40, 52, 47, 63, 56, 76, 69, 88, 85, 103, 105, 119, 126, 142, 149, 169, 173, 203, 201, 241, 236, 282, 279, 326, 332, 375, 392, 433, 460, 504, 532, 589, 612 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

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

FORMULA

a(n) ~ exp(2*Pi*sqrt(n/21)) * Gamma(2/7) * Gamma(4/7) / (4 * 3^(5/28) * 7^(9/28) * Pi^(8/7) * n^(19/28)). - Vaclav Kotesovec, Aug 26 2015

MATHEMATICA

nmax = 100; Rest[CoefficientList[Series[Product[1/((1 - x^(7k+2))*(1 - x^(7k+4))), {k, 0, nmax}], {x, 0, nmax}], x]] (* Vaclav Kotesovec, Aug 26 2015 *)

CROSSREFS

Sequence in context: A166865 A300575 A029189 * A029224 A029188 A317844

Adjacent sequences:  A035429 A035430 A035431 * A035433 A035434 A035435

KEYWORD

nonn

AUTHOR

Olivier Gérard

STATUS

approved

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Last modified October 26 11:29 EDT 2020. Contains 338027 sequences. (Running on oeis4.)