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A035390 Number of partitions of n into parts 7k or 7k+1. 0
1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 5, 7, 8, 8, 8, 8, 8, 11, 15, 17, 18, 18, 18, 18, 23, 30, 35, 37, 38, 38, 38, 45, 57, 66, 71, 73, 74, 74, 85, 104, 121, 131, 136, 138, 139, 154, 184, 212, 231, 241, 246, 248, 271, 316, 363, 396, 416, 426, 431, 463, 531, 604, 661 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,7

LINKS

Table of n, a(n) for n=1..66.

FORMULA

a(n) ~ exp(2*Pi*sqrt(n/21)) * Gamma(1/7) / (4 * 3^(9/28) * 7^(5/28) * Pi^(6/7) * n^(23/28)). - Vaclav Kotesovec, Aug 27 2015

MATHEMATICA

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

CROSSREFS

Sequence in context: A089361 A035441 A025784 * A092938 A320110 A068953

Adjacent sequences:  A035387 A035388 A035389 * A035391 A035392 A035393

KEYWORD

nonn

AUTHOR

Olivier Gérard

STATUS

approved

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Last modified April 7 15:56 EDT 2020. Contains 333306 sequences. (Running on oeis4.)