OFFSET
0,3
FORMULA
E.g.f.: exp( cos(x) * Sum_{k>=1} sigma(k)*x^k/k ).
E.g.f.: exp( cos(x) * Sum_{k>=1} x^k/(k*(1 - x^k)) ).
PROG
(PARI) N=40; x='x+O('x^N); Vec(serlaplace(1/prod(k=1, N, (1-x^k)^cos(x))))
(PARI) N=40; x='x+O('x^N); Vec(serlaplace(exp(cos(x)*sum(k=1, N, sigma(k)*x^k/k))))
(PARI) N=40; x='x+O('x^N); Vec(serlaplace(exp(cos(x)*sum(k=1, N, x^k/(k*(1-x^k))))))
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Sep 18 2021
STATUS
approved