A009581 Expansion of e.g.f. sinh(log(1+x)*exp(x)).

0, 1, 1, 3, 6, 45, 115, 1085, 1596, 40929, -45947, 2740639, -14894638, 305537661, -3124745689, 52657820137, -741121979272, 12720015772385, -215061661661751, 4001388055543771, -76882117065715874, 1570450478260074989

Offset

0,4

Links

G. C. Greubel, Table of n, a(n) for n = 0..449

Mathematica

With[{nmax = 50}, CoefficientList[Series[Sinh[Log[1 + x]*Exp[x]], {x, 0, nmax}], x]*Range[0, nmax]!] (* G. C. Greubel, Jan 22 2018 *)

Prog

(PARI) x='x+O('x^30); concat([0], Vec(serlaplace(sinh(log(1+x)*exp(x))))) \\ G. C. Greubel, Jan 22 2018

Crossrefs

Sequence in context: A153742 A092198 A133005 * A088674 A203434 A076170

Adjacent sequences: A009578 A009579 A009580 * A009582 A009583 A009584

Keyword

sign,easy

Author

R. H. Hardin

Extensions

Extended with signs by Olivier Gérard, Mar 15 1997

Status

approved