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

0,3

Comments

See A088956 for the definition of the hyperbinomial transform.

Links

Table of n, a(n) for n=0..17.

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)).

Example

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.

Sequence in context: A360584 A127770 A121630 * A360834 A349599 A214654

Adjacent sequences: A089467 A089468 A089469 * A089471 A089472 A089473

Keyword

nonn

Author

Paul D. Hanna, Nov 07 2003

Status

approved