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%I #10 Jun 23 2015 23:01:16
%S 0,6,36,220,1500,11508,98784,940896,9862560,112923360,1402980480,
%T 18804839040,270532604160,4158579398400,68031755366400,
%U 1180252336435200,21644690412441600,418404711978086400,8503255462238208000
%N a(n) = (n+2)!*sum(1/k, k=1..n)
%F a(n) = (n+1) * (n+2) * A000254(n). - _Joerg Arndt_, Aug 13 2014
%F E.g.f.: (x^2-4*x+2*log(1-x))/(x-1)^3.
%F a(n) = (n+2)/n *((2*n-1)*a(n-1) - (n^2-1)*a(n-2)). - _Robert Israel_, Aug 13 2014
%p h:=n-> sum(1/k,k=1..n):seq((n+2)!*h(n),n=0..20);
%K nonn
%O 0,2
%A _Gary Detlefs_, Aug 15 2010
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