OFFSET
0,3
LINKS
Robert Israel, Table of n, a(n) for n = 0..30
FORMULA
a(n) = A290569(n,n).
a(n) ~ c * (n!)^n ~ c * 2^(n/2) * Pi^(n/2) * n^(n*(2*n+1)/2) / exp(n^2-1/12), where c = 1/QPochhammer(exp(-1)) = 1.9824409074128737036856824655613120156828827... - Vaclav Kotesovec, Aug 26 2017, updated Jul 21 2018
MAPLE
seq(coeff(series(numtheory:-cfrac([0, [1, 1], seq([-i^n*x, 1], i=1..n)]), x, n+1), x, n), n=0..15); # Robert Israel, Aug 22 2017
MATHEMATICA
Table[SeriesCoefficient[1/(1 + ContinuedFractionK[-i^n x, 1, {i, 1, n}]), {x, 0, n}], {n, 0, 10}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Aug 22 2017
STATUS
approved