A009583 Expansion of e.g.f. sinh(log(1+x)/cosh(x)).

0, 1, -1, 0, -6, 35, -75, 784, -10052, 61221, -392445, 6267976, -85062714, 868090431, -10957052015, 185215163288, -2957955829800, 45586843784873, -803382792009849, 15611619063139568, -304944064099178510

Offset

0,5

Links

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

Mathematica

With[{nmax = 50}, CoefficientList[Series[Sinh[Log[1 + x]/Cosh[x]], {x, 0, nmax}], x]*Range[0, nmax]!] (* G. C. Greubel, Jan 22 208 *)

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: A362306 A046025 A198327 * A369351 A370091 A033578

Adjacent sequences: A009580 A009581 A009582 * A009584 A009585 A009586

Keyword

sign,easy

Author

R. H. Hardin

Extensions

Extended with signs by Olivier Gérard, Mar 15 1997

Status

approved