A012313 Expansion of e.g.f.: cosh(arcsin(x)*log(x+1)).

1, 0, 0, 0, 12, -60, 450, -2940, 26768, -239904, 2668680, -29987760, 392312712, -5250012768, 78929218368, -1221015912480, 20751350980608, -363744987018624, 6898607729825472, -135014880247703424

Offset

0,5

Links

G. C. Greubel, Table of n, a(n) for n = 0..448

Example

E.g.f. = 1 + 12*x^4/4! - 60*x^5/5! + 450*x^6/6! - 2940*x^7/7! + ...

Maple

seq(coeff(series(factorial(n)*cosh(arcsin(x)*log(x+1)), x, n+1), x, n), n = 0 .. 20); # Muniru A Asiru, Oct 25 2018

Mathematica

With[{nn=20}, CoefficientList[Series[Cosh[ArcSin[x]Log[x+1]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Aug 02 2017 *)

Prog

(PARI) x='x+O('x^30); Vec(serlaplace(cosh(asin(x)*log(x+1)))) \\ G. C. Greubel, Oct 25 2018
(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!( Cosh(Arcsin(x)*Log(x+1)) )); [Factorial(n-1)*b[n]: n in [1..m-1]]; // G. C. Greubel, Oct 25 2018

Crossrefs

Sequence in context: A009062 A012308 A009154 * A012517 A012314 A233004

Adjacent sequences: A012310 A012311 A012312 * A012314 A012315 A012316

Keyword

sign

Author

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

Extensions

Definition clarified by Harvey P. Dale, Aug 02 2017

Status

approved