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A013278
arctanh(log(x+1)-arcsinh(x))=-1/2!*x^2+3/3!*x^3-6/4!*x^4+15/5!*x^5...
0
0, 0, -1, 3, -6, 15, -150, 1575, -12600, 101115, -1103760, 14708925, -198336600, 2783105325, -43768604880, 754367488875, -13648397162400, 262037979177975, -5424089927256000, 118958487086664225
OFFSET
0,4
FORMULA
a(n) ~ (n-1)! * (-1)^(n+1) / 2 * (((2-exp(1))*exp(1))/(exp(1)-exp(2)+sqrt(2*(exp(1)-1)*exp(1))))^n. - Vaclav Kotesovec, Nov 01 2013
MATHEMATICA
CoefficientList[Series[ArcTanh[Log[x+1]-ArcSinh[x]], {x, 0, 20}], x]* Range[0, 20]! (* Vaclav Kotesovec, Nov 01 2013 *)
CROSSREFS
Sequence in context: A013275 A013271 A013272 * A009196 A329124 A116613
KEYWORD
sign
AUTHOR
Patrick Demichel (patrick.demichel(AT)hp.com)
EXTENSIONS
Prepended missing a(0)=0, a(1)=0 from Vaclav Kotesovec, Nov 01 2013
STATUS
approved