OFFSET
0,3
FORMULA
E.g.f.: exp(Sum_{k>=1} Sum_{d|k} arcsin(x^(k/d))^d / d).
MATHEMATICA
nmax = 19; CoefficientList[Series[Product[1/(1 - ArcSin[x^k]), {k, 1, nmax}], {x, 0, nmax}], x] Range[0, nmax]!
nmax = 19; CoefficientList[Series[Exp[Sum[Sum[ArcSin[x^(k/d)]^d/d, {d, Divisors[k]}], {k, 1, nmax}]], {x, 0, nmax}], x] Range[0, nmax]!
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Dec 17 2019
STATUS
approved