OFFSET
0,3
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..400
FORMULA
E.g.f.: exp( Sum_{k>0} (-sin(x))^k/(k*(sin(x)^k-1)) ).
MATHEMATICA
nmax = 25; CoefficientList[Series[Product[1 + Sin[x]^k, {k, 1, nmax}], {x, 0, nmax}], x] * Range[0, nmax]! (* Vaclav Kotesovec, Oct 03 2020 *)
PROG
(PARI) N=40; x='x+O('x^N); Vec(serlaplace(eta(sin(x)^2)/eta(sin(x))))
(PARI) N=40; x='x+O('x^N); Vec(serlaplace(prod(k=1, N, 1+sin(x)^k)))
(PARI) N=40; x='x+O('x^N); Vec(serlaplace(exp(sum(k=1, N, (-sin(x))^k/(k*(sin(x)^k-1))))))
CROSSREFS
KEYWORD
sign
AUTHOR
Seiichi Manyama, Oct 02 2020
EXTENSIONS
Two more terms from Vaclav Kotesovec, Oct 03 2020
STATUS
approved