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A160984 Number of partitions of n where every part appears at least 14 times 1
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, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 4, 2, 4, 4, 5, 4, 7, 5, 7, 7, 8, 7, 10, 8, 12, 11, 12, 12, 16, 13, 16, 16, 18, 17, 20, 18, 22, 21, 25, 23, 28, 25, 29, 30, 32, 30, 35, 33, 38, 36, 39, 38, 47, 43, 48, 48, 54, 52, 63, 58, 67, 65, 74, 73, 85, 79, 95 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,28

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(-14*x)) dx = -1.284573189673851723704615507462186169038822303924896813445... . - Vaclav Kotesovec, Jan 05 2016

MATHEMATICA

nmax = 100; Rest[CoefficientList[Series[Product[1 + x^(14*k)/(1-x^k), {k, 1, nmax}], {x, 0, nmax}], x]] (* Vaclav Kotesovec, Nov 28 2015 *)

CROSSREFS

Sequence in context: A161089 A161305 A161280 * A346094 A082898 A095999

Adjacent sequences:  A160981 A160982 A160983 * A160985 A160986 A160987

KEYWORD

nonn

AUTHOR

R. H. Hardin Jun 01 2009

STATUS

approved

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Last modified September 18 07:00 EDT 2021. Contains 347510 sequences. (Running on oeis4.)