A012276 Expansion of e.g.f. arctan(exp(x)*log(x+1)).

1, 1, 0, -12, -37, 55, 2352, 11872, -55963, -1946147, -12422168, 127425716, 4206315423, 29351640435, -573767182376, -18652736291104, -126637724451319, 4546934751296505, 146709365362329136

Offset

0,4

Links

G. C. Greubel, Table of n, a(n) for n = 0..436

Example

E.g.f. = x + x^2/2! - 12*x^4/4! - 37*x^5/5! + 55*x^6/6! + ...

Maple

seq(coeff(series(factorial(n)*arctan(exp(x)*log(x+1)), x, n+1), x, n), n = 1 .. 30) # Stefano Spezia, Oct 28 2018

Mathematica

With[{nn = 30}, CoefficientList[Series[ArcTan[Exp[x]*Log[x+1]], {x, 0, nn}], x] Range[0, nn]!] (* G. C. Greubel, Oct 28 2018 *)

Prog

(PARI) x='x+O('x^30); Vec(serlaplace(atan(exp(x)*log(x+1)))) \\ G. C. Greubel, Oct 28 2018
(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!( Arctan(Exp(x)*Log(x+1)) )); [Factorial(n)*b[n]: n in [1..m-1]]; // G. C. Greubel, Oct 28 2018

Crossrefs

Sequence in context: A023731 A045285 A045270 * A045174 A044089 A044470

Adjacent sequences: A012273 A012274 A012275 * A012277 A012278 A012279

Keyword

sign

Author

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

Status

approved