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A160977 Number of partitions of n where every part appears at least 7 times 1
0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 3, 3, 3, 5, 4, 5, 6, 8, 7, 9, 9, 11, 11, 12, 15, 16, 16, 17, 19, 22, 21, 26, 26, 30, 31, 34, 36, 43, 46, 50, 52, 60, 62, 70, 74, 89, 88, 99, 104, 118, 122, 136, 150, 163, 169, 187, 196, 216, 227, 256, 264, 295, 304, 332, 350, 382, 411, 441 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,14

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(-7*x)) dx = -1.104868234083422137620242346741601264555358762045898765433... . - Vaclav Kotesovec, Jan 05 2016

MATHEMATICA

nmax = 100; Rest[CoefficientList[Series[Product[1 + x^(7*k)/(1-x^k), {k, 1, nmax}], {x, 0, nmax}], x]] (* Vaclav Kotesovec, Nov 28 2015 *)

CROSSREFS

Sequence in context: A161082 A161298 A161273 * A331541 A030738 A341541

Adjacent sequences:  A160974 A160975 A160976 * A160978 A160979 A160980

KEYWORD

nonn

AUTHOR

R. H. Hardin Jun 01 2009

STATUS

approved

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Last modified July 25 03:53 EDT 2021. Contains 346283 sequences. (Running on oeis4.)