OFFSET
0,3
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..3149
FORMULA
a(0) = 1 and a(n) = (1/n) * Sum_{k=1..n} A073705(k)*a(n-k) for n > 0. - Seiichi Manyama, Nov 05 2017
From Vaclav Kotesovec, Nov 05 2017: (Start)
a(n) ~ c * 3^(2*n/3) / n^(2/3), where
c = 4.674336739118905298732313884863019... if mod(n,3)=0
c = 4.299861572054701010776554223312792... if mod(n,3)=1
c = 4.239106098573472870377481583112857... if mod(n,3)=2
(End)
MATHEMATICA
nmax = 40; CoefficientList[Series[Product[(1-k^2*x^k)^(-1/k), {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Nov 05 2017 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Franklin T. Adams-Watters, Jul 03 2009
STATUS
approved