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%I #11 May 04 2013 02:33:25
%S 1,2,3,5,13,45,205,1115,7305,54305,464425,4380675,46230925,528514025,
%T 6635260125,89124741875,1297262292625,20019445694625,331450831284625,
%U 5777919619047875,107221860383503125,2083573516715965625
%N E.g.f.: exp(arcsin(x)+log(x+1)).
%H Vincenzo Librandi, <a href="/A012899/b012899.txt">Table of n, a(n) for n = 0..200</a>
%F Recurrence: 3*a(n) = a(n-1) + (3*n^2-15*n+22)*a(n-2) + 2*(n^2-8*n+17)*a(n-3). - _Vaclav Kotesovec_, Oct 07 2012
%e exp(arcsin(x)+log(x+1))=1+2*x+3/2!*x^2+5/3!*x^3+13/4!*x^4+45/5!*x^5...
%t Table[n!*SeriesCoefficient[E^(ArcSin[x]+Log[x+1]),{x,0,n}],{n,0,20}] (* _Vaclav Kotesovec_, Oct 07 2012 *)
%o (PARI) x='x+O('x^66); Vec(serlaplace(exp(asin(x)+log(x+1)))) \\ _Joerg Arndt_, May 04 2013
%K nonn
%O 0,2
%A Patrick Demichel (patrick.demichel(AT)hp.com)
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