OFFSET
0,3
FORMULA
a(n) ~ c * d^n * (n!)^5 / sqrt(n), where
d = 10^5 * Gamma(2/5)^5 / Gamma(1/5)^10 = 1.29133469292029895399895579276779248119508048136258551947012306768...
c = sqrt(5*d/(2*Pi)) = 1.0137117429632556021458475899461841562723826775113969124...
MATHEMATICA
nmax = 15; CoefficientList[Series[1/Fold[(1 - #2/#1) &, 1, Reverse[Range[nmax + 1]^5*x]], {x, 0, nmax}], x]
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Sep 23 2020
STATUS
approved