A012965 Expansion of e.g.f. sinh(arctan(x) + log(x+1)).

0, 2, -1, 8, -30, 110, -735, 6260, -46060, 353690, -3869325, 47962400, -535492650, 6256290950, -94256473675, 1540899327500, -23184083247000, 363941070067250, -6966275933345625, 141502264507955000

Offset

0,2

Links

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

Example

2*x - 1/2!*x^2 + 8/3!*x^3 - 30/4!*x^4 + 110/5!*x^5 ...

Mathematica

With[{nn=20}, CoefficientList[Series[Sinh[ArcTan[x]+Log[1+x]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Mar 04 2026 *)

Crossrefs

Sequence in context: A252355 A366404 A013123 * A013119 A012962 A214731

Adjacent sequences: A012962 A012963 A012964 * A012966 A012967 A012968

Keyword

sign

Author

Patrick Demichel

Extensions

a(0)=0 inserted and title improved by Sean A. Irvine, Jul 29 2018

Status

approved