A009200 E.g.f. exp(sin(log(1+x))).

1, 1, 0, -1, 2, -4, 16, -120, 1084, -10568, 111196, -1269764, 15728360, -210510936, 3029497472, -46654106824, 765497451536, -13330741903360, 245546485746064, -4769321293582128, 97417091239222336, -2087367002843576384, 46814167766826521920, -1096698328458955351616

Offset: 0

Author

R. H. Hardin

Keywords

• sign
• easy

Crossrefs

Cf. A002017.

Programs

PARI

x='x+O('x^30); Vec(serlaplace(exp(sin(log(1+x))))) \\ Michel Marcus, Apr 01 2017

Formula

a(n) = Sum_{k=1..n} stirling1(n,k)*A002017(k), n > 0, a(0)=1. - Vladimir Kruchinin, Jun 29 2011

Extensions

Extended with signs by Olivier Gérard, Mar 15 1997