A012315 Expansion of e.g.f. sech(arcsin(x)*log(x+1)).

1, 0, 0, 0, -12, 60, -450, 2940, -16688, 58464, 506520, -18245040, 332343528, -5206192992, 71271712512, -855046876320, 7211743218432, 15834692767104, -2957850381938112, 99133043643679104, -2542788978368967552

Offset

0,5

Links

G. C. Greubel, Table of n, a(n) for n = 0..446

Example

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

Maple

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

Mathematica

With[{nn = 30}, CoefficientList[Series[Sech[ArcSin[x]*Log[x + 1]], {x, 0, nn}], x] Range[0, nn]!] (* G. C. Greubel, Oct 25 2018 *)

Prog

(PARI) x='x+O('x^30); Vec(serlaplace(1/cosh(asin(x)*log(x+1)))) \\ G. C. Greubel, Oct 25 2018
(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!( 1/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: A309308 A127869 A012518 * A009062 A012308 A009154

Adjacent sequences: A012312 A012313 A012314 * A012316 A012317 A012318

Keyword

sign

Author

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

Status

approved