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A160976 Number of partitions of n where every part appears at least 6 times. 2
0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 4, 2, 4, 4, 5, 4, 9, 6, 8, 9, 11, 9, 16, 12, 16, 16, 18, 18, 27, 21, 27, 28, 34, 31, 47, 39, 50, 50, 60, 57, 81, 72, 88, 89, 105, 101, 136, 124, 153, 151, 176, 171, 222, 205, 246, 252, 287, 281, 353, 334, 392, 401, 460, 453, 559, 534, 620, 636 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,12

LINKS

R. H. Hardin, Table of n, a(n) for n=1..1000

FORMULA

a(n) ~ sqrt(Pi^2 + 6*c) * exp(sqrt((2*Pi^2/3 + 4*c)*n)) / (4*sqrt(3)*Pi*n), where c = Integral_{0..infinity} log(1 - exp(-x) + exp(-6*x)) dx = -1.055135119523138524396962100839537485211520908123400469186... . - Vaclav Kotesovec, Jan 05 2016

MATHEMATICA

nmax = 100; Rest[CoefficientList[Series[Product[1 + x^(6*k)/(1-x^k), {k, 1, nmax}], {x, 0, nmax}], x]] (* Vaclav Kotesovec, Nov 28 2015 *)

CROSSREFS

Sequence in context: A161081 A161297 A161272 * A029218 A100376 A336318

Adjacent sequences:  A160973 A160974 A160975 * A160977 A160978 A160979

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jun 01 2009

STATUS

approved

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Last modified September 23 19:48 EDT 2021. Contains 347617 sequences. (Running on oeis4.)