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A089470 Self-convolution of this sequence is equal to its hyperbinomial transform and results in A089471. 1
1, 1, 4, 29, 303, 4108, 68165, 1334403, 30056112, 764920823, 21694511367, 678288426792, 23173084581845, 858785085529061, 34311202499100416, 1470080434980994825, 67236889676684657943, 3269565144147886318168 (list; graph; refs; listen; history; text; internal format)
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: A217807 A127770 A121630 * A214654 A014622 A067146

Adjacent sequences:  A089467 A089468 A089469 * A089471 A089472 A089473

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Nov 07 2003

STATUS

approved

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Last modified August 18 20:02 EDT 2019. Contains 326109 sequences. (Running on oeis4.)