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A013492
exp(arcsinh(x)-log(x+1)) = 1+1/2!*x^2-3/3!*x^3+9/4!*x^4-45/5!*x^5...
1
1, 0, 1, -3, 9, -45, 315, -2205, 16065, -144585, 1545075, -16995825, 194126625, -2523646125, 36735774075, -551036611125, 8542663754625, -145225283828625, 2683905224875875, -50994199272641625
OFFSET
0,4
COMMENTS
The e.g.f. is a disguised form of the algebraic function (x+sqrt(1+x^2))/(1+x). - Peter Bala, Apr 22 2012
LINKS
FORMULA
a(n) ~ n! * (-1)^n * (sqrt(2)-1). - Vaclav Kotesovec, Nov 01 2013
MATHEMATICA
CoefficientList[Series[Exp[ArcSinh[x]-Log[x+1]], {x, 0, 20}], x]* Range[0, 20]! (* Vaclav Kotesovec, Nov 01 2013 *)
CROSSREFS
Sequence in context: A004990 A027616 A245140 * A106341 A065407 A180501
KEYWORD
sign
AUTHOR
Patrick Demichel (patrick.demichel(AT)hp.com)
STATUS
approved