# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a012899 Showing 1-1 of 1 %I A012899 #11 May 04 2013 02:33:25 %S A012899 1,2,3,5,13,45,205,1115,7305,54305,464425,4380675,46230925,528514025, %T A012899 6635260125,89124741875,1297262292625,20019445694625,331450831284625, %U A012899 5777919619047875,107221860383503125,2083573516715965625 %N A012899 E.g.f.: exp(arcsin(x)+log(x+1)). %H A012899 Vincenzo Librandi, Table of n, a(n) for n = 0..200 %F A012899 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 A012899 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 A012899 Table[n!*SeriesCoefficient[E^(ArcSin[x]+Log[x+1]),{x,0,n}],{n,0,20}] (* _Vaclav Kotesovec_, Oct 07 2012 *) %o A012899 (PARI) x='x+O('x^66); Vec(serlaplace(exp(asin(x)+log(x+1)))) \\ _Joerg Arndt_, May 04 2013 %K A012899 nonn %O A012899 0,2 %A A012899 Patrick Demichel (patrick.demichel(AT)hp.com) # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE