OFFSET
0,2
COMMENTS
a(n) is Euler transform of A010850. - Alois P. Heinz, Oct 17 2008
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..1000
N. J. A. Sloane, Transforms
FORMULA
G.f.: Product_{m>=1} 1/(1-x^m)^11.
a(n) ~ 1331 * exp(Pi * sqrt(22*n/3)) / (2^(19/2) * 27 * n^(7/2)). - Vaclav Kotesovec, Feb 28 2015
a(0) = 1, a(n) = (11/n)*Sum_{k=1..n} A000203(k)*a(n-k) for n > 0. - Seiichi Manyama, Mar 27 2017
G.f.: exp(11*Sum_{k>=1} x^k/(k*(1 - x^k))). - Ilya Gutkovskiy, Feb 06 2018
MAPLE
with(numtheory): a:= proc(n) option remember; `if`(n=0, 1, add(add(d*11, d=divisors(j)) *a(n-j), j=1..n)/n) end: seq(a(n), n=0..40); # Alois P. Heinz, Oct 17 2008
MATHEMATICA
nmax=50; CoefficientList[Series[Product[1/(1-x^k)^11, {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Feb 28 2015 *)
CoefficientList[Series[1/QPochhammer[x]^11, {x, 0, 30}], x] (* Indranil Ghosh, Mar 27 2017 *)
PROG
(PARI) Vec(1/eta(x)^11 + O(x^30)) \\ Indranil Ghosh, Mar 27 2017
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved