A012513 Expansion of e.g.f. arctan(sinh(x) * log(x+1)).

0, 0, 2, -3, 12, -40, -50, 1449, -23016, 261288, -2306342, 15798365, 33379940, -3972201168, 100308059878, -1917671123655, 28943854480688, -288514829730256, -1435208344849998, 189049167829499229

Offset

0,3

Links

Muniru A Asiru, Table of n, a(n) for n = 0..100

Example

2/2!*x^2 - 3/3!*x^3 + 12/4!*x^4 - 40/5!*x^5 ...

Maple

seq(coeff(series(factorial(n)*arctan(sinh(x)*log(x+1)), x, n+1), x, n), n=0..20); # Muniru A Asiru, Jul 19 2018

Mathematica

With[{nn=20}, CoefficientList[Series[ArcTan[Sinh[x]Log[x+1]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Jul 04 2021 *)

Crossrefs

Sequence in context: A352099 A012307 A012311 * A012515 A012510 A012310

Adjacent sequences: A012510 A012511 A012512 * A012514 A012515 A012516

Keyword

sign

Author

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

Extensions

a(0) and a(1) inserted and title improved by Sean A. Irvine, Jul 19 2018

Status

approved