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A013494 exp(arcsinh(x)-arctanh(x)) = 1-3/3!*x^3-15/5!*x^5+90/6!*x^6-945/7!*x^7... 1
1, 0, 0, -3, 0, -15, 90, -945, 2520, -36855, 368550, -5145525, 31808700, -541215675, 7577019450, -134726216625, 1338322986000, -27408165159375, 493346972868750, -10700744687758125, 147490229469082500 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,4
LINKS
FORMULA
E.g.f.: (x+sqrt(1+x^2))*sqrt(1-x^2)/(x+1). - Vaclav Kotesovec, Nov 01 2013
a(n) ~ 2 * (-1)^n * (sqrt(2)-1) * n^n / exp(n). - Vaclav Kotesovec, Nov 01 2013
MATHEMATICA
CoefficientList[Series[Exp[ArcSinh[x]-ArcTanh[x]], {x, 0, 20}], x]* Range[0, 20]! (* Vaclav Kotesovec, Nov 01 2013 *)
CROSSREFS
Sequence in context: A013490 A013351 A013407 * A365972 A290580 A038122
KEYWORD
sign
AUTHOR
Patrick Demichel (patrick.demichel(AT)hp.com)
STATUS
approved

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Last modified March 28 14:38 EDT 2024. Contains 371254 sequences. (Running on oeis4.)