OFFSET
0,2
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = 0..385
FORMULA
a(n) ~ c * n^(n-1), where c = sqrt(2) * BesselI(1, 2*sqrt(2)) = 4.78966619...
MATHEMATICA
Table[SeriesCoefficient[Product[(1 + n^(k - 1)*x^k)/(1 - n^(k - 1)*x^k), {k, 1, n}], {x, 0, n}], {n, 0, 20}]
Join[{1}, Table[SeriesCoefficient[2*x + (n - 1)/(n + 1)*QPochhammer[-1/n, n*x]/QPochhammer[1/n, n*x], {x, 0, n}], {n, 1, 20}]]
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Jul 19 2021
STATUS
approved