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A160980 Number of partitions of n where every part appears at least 10 times 1
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 4, 2, 4, 4, 5, 4, 7, 5, 7, 7, 10, 8, 11, 10, 13, 12, 14, 13, 17, 15, 20, 18, 22, 20, 24, 24, 27, 25, 29, 28, 37, 32, 38, 37, 44, 43, 51, 48, 57, 54, 70, 64, 78, 73, 87, 86, 101, 98, 114, 110, 136, 127, 150, 146, 171, 168, 192 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,20

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(-10*x)) dx = -1.205537253124053741421631447140430212861580981956591015349... . - Vaclav Kotesovec, Jan 05 2016

MATHEMATICA

nmax = 100; Rest[CoefficientList[Series[Product[1 + x^(10*k)/(1-x^k), {k, 1, nmax}], {x, 0, nmax}], x]] (* Vaclav Kotesovec, Nov 28 2015 *)

CROSSREFS

Sequence in context: A161085 A161301 A161276 * A065031 A305832 A058061

Adjacent sequences:  A160977 A160978 A160979 * A160981 A160982 A160983

KEYWORD

nonn

AUTHOR

R. H. Hardin Jun 01 2009

STATUS

approved

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Last modified June 21 10:09 EDT 2021. Contains 345360 sequences. (Running on oeis4.)