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A023011 Number of partitions of n into parts of 13 kinds. 2
1, 13, 104, 637, 3276, 14820, 60697, 229372, 810654, 2706366, 8600501, 26173966, 76654656, 216903064, 594973106, 1586553501, 4122693185, 10461067253, 25967050382, 63154957281, 150708128116, 353304272945, 814564136529, 1848834255034, 4134822087942 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

a(n) is Euler transform of A010852. - Alois P. Heinz, Oct 17 2008

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..1000

Index entries for expansions of Product_{k >= 1} (1-x^k)^m

N. J. A. Sloane, Transforms

FORMULA

a(0) = 1, a(n) = (13/n)*Sum_{k=1..n} A000203(k)*a(n-k) for n > 0. - Seiichi Manyama, Mar 27 2017

MAPLE

with (numtheory): a:= proc(n) option remember; `if`(n=0, 1, add (add (d*13, d=divisors(j)) *a(n-j), j=1..n)/n) end: seq (a(n), n=0..40); # Alois P. Heinz, Oct 17 2008

MATHEMATICA

CoefficientList[Series[1/QPochhammer[x]^13, {x, 0, 30}], x] (* Indranil Ghosh, Mar 27 2017 *)

PROG

(PARI) Vec(1/eta(x)^13 + O(x^30)) \\ Indranil Ghosh, Mar 27 2017

CROSSREFS

Cf. 13th column of A144064. - Alois P. Heinz, Oct 17 2008

Sequence in context: A283121 A278555 A282921 * A022641 A000590 A052065

Adjacent sequences:  A023008 A023009 A023010 * A023012 A023013 A023014

KEYWORD

nonn

AUTHOR

David W. Wilson

STATUS

approved

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Last modified July 21 21:14 EDT 2019. Contains 325199 sequences. (Running on oeis4.)