OFFSET
0,3
FORMULA
Sum_{n>=0} a(n) * x^n / (n!)^5 = 1 / (1 + polylog(5,x)).
MATHEMATICA
a[0] = 1; a[n_] := a[n] = -(n!)^5 Sum[a[k]/(k! (n - k))^5, {k, 0, n - 1}]; Table[a[n], {n, 0, 12}]
nmax = 12; CoefficientList[Series[1/(1 + PolyLog[5, x]), {x, 0, nmax}], x] Range[0, nmax]!^5
PROG
(PARI) a(n)={n!^5*polcoef(1/(1 + polylog(5, x + O(x*x^n))), n)} \\ Andrew Howroyd, Sep 15 2020
CROSSREFS
KEYWORD
sign
AUTHOR
Ilya Gutkovskiy, Sep 15 2020
STATUS
approved