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%I #7 Oct 12 2012 14:40:24
%S 1,114,5610,195800,5765500,155357384,4002695088,101180433024,
%T 2549865473424,64728375139872,1666424486271456,43708768764064128,
%U 1171582385481357696,32157753536587053312,905080567903692754176
%N Fifth diagonal of second-order Eulerian triangle A008517. Fifth column (m=4) of triangle A112007.
%F a(n)=A112007(n+4, 4), n>=0.
%F a(n)= (n+9)*a(n-1) + (n+1)*A112008(n), n>=1, a(0)=1.
%F Contribution from _Johannes W. Meijer_, Oct 16 2009: (Start)
%F a(n) = sum((-1)^(n+k+1)*binomial(2*n+11,k)*stirling1(n-k+10,5-k),k=0..4)
%F (End)
%e 5610= a(2) = 11*114 + 3*1452.
%Y Cf. A112008 (fourth diagonal of A008517 and fourth column of A112007).
%Y Contribution from _Johannes W. Meijer_, Oct 16 2009: (Start)
%Y Equals fifth left hand column of A163936.
%Y (End)
%K nonn,easy
%O 0,2
%A _Wolfdieter Lang_, Sep 12 2005
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