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A160985 Number of partitions of n where every part appears at least 15 times 1
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 3, 3, 3, 5, 4, 5, 6, 6, 6, 8, 7, 8, 9, 9, 9, 13, 11, 12, 14, 15, 14, 17, 16, 18, 19, 19, 19, 23, 21, 22, 27, 26, 26, 29, 29, 32, 33, 32, 34, 38, 37, 37, 41, 41, 41, 49, 46, 50, 52, 54, 57, 65, 61, 67, 70, 77 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,30

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(-15*x)) dx = -1.299099673880548910845314768396583476528526604991203773132... . - Vaclav Kotesovec, Jan 05 2016

MATHEMATICA

nmax = 100; Rest[CoefficientList[Series[Product[1 + x^(15*k)/(1-x^k), {k, 1, nmax}], {x, 0, nmax}], x]] (* Vaclav Kotesovec, Nov 28 2015 *)

CROSSREFS

Sequence in context: A160986 A287867 A023126 * A167968 A161239 A161063

Adjacent sequences:  A160982 A160983 A160984 * A160986 A160987 A160988

KEYWORD

nonn

AUTHOR

R. H. Hardin Jun 01 2009

STATUS

approved

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Last modified February 18 00:19 EST 2019. Contains 320237 sequences. (Running on oeis4.)