login
A012583
Expansion of e.g.f.: sech(arcsinh(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-210/6!*x^6...
0
1, 0, 0, 0, -12, 60, -210, 1260, -4368, -42336, 833880, -9944880, 109031208, -998835552, 5256888000, 57628902240, -2552409700608, 53611141985664, -880205240332224, 12318269451041664, -115115298914746752
OFFSET
0,5
MATHEMATICA
With[{nn=20}, CoefficientList[Series[Sech[ArcSinh[x]Log[x+1]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Feb 20 2023 *)
CROSSREFS
Sequence in context: A277106 A000554 A012289 * A009049 A012577 A009148
KEYWORD
sign
AUTHOR
Patrick Demichel (patrick.demichel(AT)hp.com)
EXTENSIONS
Definition clarified by Harvey P. Dale, Feb 20 2023
STATUS
approved