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A160987 Number of partitions of n where every part appears at least 17 times 1
0, 0, 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, 1, 1, 2, 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, 11, 10, 13, 13, 13, 14, 17, 15, 17, 18, 19, 19, 21, 20, 23, 23, 23, 24, 27, 28, 28, 30, 31, 32, 35, 34, 36, 38, 38, 40, 42, 42, 43, 45, 47, 47, 53, 51 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,34

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(-17*x)) dx = -1.324115652777071770633973742770277572729211213136860871177... . - Vaclav Kotesovec, Jan 05 2016

MATHEMATICA

nmax = 100; Rest[CoefficientList[Series[Product[1 + x^(17*k)/(1-x^k), {k, 1, nmax}], {x, 0, nmax}], x]] (* Vaclav Kotesovec, Nov 28 2015 *)

CROSSREFS

Sequence in context: A066788 A160988 A184319 * A230773 A338732 A309026

Adjacent sequences:  A160984 A160985 A160986 * A160988 A160989 A160990

KEYWORD

nonn

AUTHOR

R. H. Hardin Jun 01 2009

STATUS

approved

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Last modified October 27 10:47 EDT 2021. Contains 348274 sequences. (Running on oeis4.)