A012969 - OEIS

A012969

Expansion of e.g.f.: cosh(arctan(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+19/4!*x^4-140/5!*x^5...

1, 0, 4, -6, 19, -140, 910, -5250, 39925, -414360, 4244200, -42242750, 500292775, -7036001700, 98944220050, -1395690728250, 22347132003625, -399376247582000, 7158271817183500, -130527261318021750

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OFFSET

0,3

LINKS

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

MATHEMATICA

With[{nn=20}, CoefficientList[Series[Cosh[ArcTan[x]+Log[x+1]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Aug 04 2024 *)

CROSSREFS

Sequence in context: A001683 A053892 A013126 * A057789 A174936 A360823

Adjacent sequences: A012966 A012967 A012968 * A012970 A012971 A012972

KEYWORD

sign

AUTHOR

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

EXTENSIONS

Definition clarified by Harvey P. Dale, Aug 04 2024

STATUS

approved