OFFSET
0,3
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..80
Vaclav Kotesovec, Graph - The asymptotic ratio
FORMULA
a(n) = [x^n] Product_{j>=1} 1/(1-x^j)^(j^n).
Conjecture: limit n->infinity a(n)^(1/n^2) = exp(exp(-1)) = 1.444667861... . - Vaclav Kotesovec, Mar 25 2016
MAPLE
with(numtheory):
A:= proc(n, k) option remember; `if`(n=0, 1, add(add(
d*d^k, d=divisors(j))*A(n-j, k), j=1..n)/n)
end:
a:= n-> A(n$2):
seq(a(n), n=0..20);
MATHEMATICA
Table[SeriesCoefficient[Product[1/(1-x^k)^(k^n), {k, 1, n}], {x, 0, n}], {n, 0, 20}] (* Vaclav Kotesovec, Mar 01 2015 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Dec 21 2014
STATUS
approved