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 A012600 E.g.f.: arcsin(arcsinh(x)*arcsin(x)) = 2/2!*x^2+208/6!*x^6+680832/10!*x^10... 1

%I #12 Aug 20 2012 19:28:01

%S 2,208,680832,13382891520,900036879360000,154882202019677798400,

%T 57048038229121314631188480,39842938883822751996178291752960,

%U 48329392241807199563371957327138652160,95258638419599144345659651051786276479959040

%N E.g.f.: arcsin(arcsinh(x)*arcsin(x)) = 2/2!*x^2+208/6!*x^6+680832/10!*x^10...

%H Alois P. Heinz, <a href="/A012600/b012600.txt">Table of n, a(n) for n = 0..50</a>

%F a(n) = (4*n+2)! * [2^(4*n+2)] arcsin(arcsinh(x)*arcsin(x)).

%p b:= n-> n!* coeff(series(arcsin(arcsinh(x)*arcsin(x)), x, n+1 ), x, n):

%p a:= n-> b(4*n+2):

%p seq (a(n), n=0..10); # _Alois P. Heinz_, Aug 20 2012

%t With[{nn=40},Take[CoefficientList[Series[ArcSin[ArcSinh[x]ArcSin[x]],{x,0,nn}],x]Range[0,nn-2]!,{3,-1,4}]] (* _Harvey P. Dale_, Aug 20 2012 *)

%K nonn

%O 0,1

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

%E More terms from and definition clarified by _Harvey P. Dale_, Aug 20 2012

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Last modified May 29 20:58 EDT 2023. Contains 363042 sequences. (Running on oeis4.)