A009579 Expansion of e.g.f. sinh(log(1+x)*cos(x)).

0, 1, -1, 0, -6, 15, -15, 504, -5012, 36669, -355365, 3899896, -44013354, 548524067, -7497410011, 109307996368, -1698988986120, 28143721400537, -494300504000457, 9172649636106320, -179395936412579630, 3688055603972525047

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]*Cos[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)*cos(x))))) \\ G. C. Greubel, Jan 22 2018

Crossrefs

Sequence in context: A205132 A199223 A199094 * A358760 A114812 A158338

Adjacent sequences: A009576 A009577 A009578 * A009580 A009581 A009582

Keyword

sign,easy

Author

R. H. Hardin

Extensions

Extended with signs by Olivier Gérard, Mar 15 1997

Status

approved