A012708 Expansion of e.g.f.: sech(arctanh(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-570/6!*x^6...

1, 0, 0, 0, -12, 60, -570, 3780, -29568, 169344, -557160, -13049520, 375064008, -7823848032, 135678667488, -2221166656800, 32120158935552, -397914002426496, 2522488580207424, 61215640433391744

Offset

0,5

Links

Table of n, a(n) for n=0..19.

Mathematica

With[{nn=20}, CoefficientList[Series[Sech[ArcTanh[x]Log[x+1]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Apr 23 2023 *)

Crossrefs

Sequence in context: A012314 A233004 A012360 * A009077 A012702 A009163

Adjacent sequences: A012705 A012706 A012707 * A012709 A012710 A012711

Keyword

sign

Author

Patrick Demichel (patrick.demichel(AT)hp.com)

Extensions

Definition clarified by Harvey P. Dale, Apr 23 2023

Status

approved