A089470 Self-convolution of this sequence is equal to its hyperbinomial transform and results in A089471.

1, 1, 4, 29, 303, 4108, 68165, 1334403, 30056112, 764920823, 21694511367, 678288426792, 23173084581845, 858785085529061, 34311202499100416, 1470080434980994825, 67236889676684657943, 3269565144147886318168

Offset: 0

Author

Paul D. Hanna, Nov 07 2003

Keywords

• nonn

Comments

See A088956 for the definition of the hyperbinomial transform.

Examples

			The self-convolution at n=4: 303*1+29*1+4*4+1*29+1*303 = 680 = A089471(4) and equals the hyperbinomial transform at n=4: 125*1+64*1+18*4+4*29+1*303 = 680 = A089471(4).
		

Crossrefs

Cf. A089471, A088956.

Formula

A089471(n) = sum(k=1, n, a(k)*a(n-k)); A089471(n) = sum(k=0, n, (n-k+1)^(n-k-1)*binomial(n, k)*a(k)).