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%I #8 Nov 01 2013 05:35:14
%S 1,2,4,8,-240,17952,-1948608,295020672,-59798806272,15680355451392,
%T -5172616470494208,2098138466506967040,-1026884688371863449600,
%U 596895972998821973729280,-406569645650910092250562560
%N exp(arcsinh(x)*arcsinh(x))=1+2/2!*x^2+4/4!*x^4+8/6!*x^6-240/8!*x^8...
%F a(n) ~ (-1)^(n+1) * Pi * 2^(2*n) *n^(2*n-1) / exp(2*n + (Pi^2)/4). - _Vaclav Kotesovec_, Nov 01 2013
%t Table[n!*SeriesCoefficient[Exp[ArcSinh[x]*ArcSinh[x]],{x,0,n}],{n,0,40,2}] (* _Vaclav Kotesovec_, Nov 01 2013 *)
%K sign
%O 0,2
%A Patrick Demichel (patrick.demichel(AT)hp.com)
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