A009580 Expansion of e.g.f. sinh(log(1+x)*cosh(x)).

0, 1, -1, 6, -18, 115, -735, 6146, -53788, 533877, -5717925, 67138214, -852558366, 11690238495, -171896284651, 2699638432882, -45081742698840, 797695827586441, -14907737121376329, 293431115776578790

Offset

0,4

Links

G. C. Greubel, Table of n, a(n) for n = 0..448

Mathematica

With[{nmax = 50}, CoefficientList[Series[Sinh[Log[1 + x]*Cosh[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)*cosh(x))) )) \\ G. C. Greubel, Jan 22 2018

Crossrefs

Sequence in context: A143556 A007126 A009576 * A125839 A117813 A012758

Adjacent sequences: A009577 A009578 A009579 * A009581 A009582 A009583

Keyword

sign,easy

Author

R. H. Hardin

Extensions

Extended with signs by Olivier Gérard, Mar 15 1997

Status

approved