A112485 Fifth diagonal of second-order Eulerian triangle A008517. Fifth column (m=4) of triangle A112007.

1, 114, 5610, 195800, 5765500, 155357384, 4002695088, 101180433024, 2549865473424, 64728375139872, 1666424486271456, 43708768764064128, 1171582385481357696, 32157753536587053312, 905080567903692754176

Offset: 0

Author

Wolfdieter Lang, Sep 12 2005

Keywords

• nonn
• easy

Examples

			5610= a(2) = 11*114 + 3*1452.
		

Crossrefs

Cf. A112008 (fourth diagonal of A008517 and fourth column of A112007).

Contribution from Johannes W. Meijer, Oct 16 2009: (Start)

Equals fifth left hand column of A163936.

(End)

Formula

a(n)=A112007(n+4, 4), n>=0.

a(n)= (n+9)*a(n-1) + (n+1)*A112008(n), n>=1, a(0)=1.

Contribution from Johannes W. Meijer, Oct 16 2009: (Start)

a(n) = sum((-1)^(n+k+1)*binomial(2*n+11,k)*stirling1(n-k+10,5-k),k=0..4)

(End)