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A012311 Expansion of e.g.f. tanh(arcsin(x)*log(x+1)). 1
0, 0, 2, -3, 12, -40, -2, 1281, -20328, 247176, -2577798, 24949485, -189717660, 500394960, 24648965430, -804228701535, 18028676700720, -340430894094480, 5649443088034290, -76409572412090115, 580555717060321980 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

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

EXAMPLE

E.g.f. = 2*x^2/2! - 3*x^3/3! + 12*x^4/4! - 40*x^5/5! + ...

MAPLE

seq(coeff(series(factorial(n)*tanh(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[Tanh[ArcSin[x]Log[x+1]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Feb 05 2013 *)

PROG

(PARI) x='x+O('x^30); concat([0, 0], Vec(serlaplace(tanh(asin(x)* log(x+1))))) \\ G. C. Greubel, Oct 25 2018

(MAGMA) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!( Tanh(Arcsin(x)*Log(x+1)) )); [0, 0] cat [Factorial(n+1)*b[n]: n in [1..m-2]]; // G. C. Greubel, Oct 25 2018

CROSSREFS

Sequence in context: A099171 A268561 A012307 * A012513 A012515 A012510

Adjacent sequences:  A012308 A012309 A012310 * A012312 A012313 A012314

KEYWORD

sign

AUTHOR

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

EXTENSIONS

Prepended two zeros, Joerg Arndt, Feb 05 2013

STATUS

approved

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Last modified June 15 17:41 EDT 2021. Contains 345049 sequences. (Running on oeis4.)