id:A089470 - OEIS Search Results

Search: id:A089470

Displaying 1-1 of 1 results found.

page 1

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

+0
2

1, 1, 4, 29, 303, 4108, 68165, 1334403, 30056112, 764920823, 21694511367, 678288426792, 23173084581845, 858785085529061, 34311202499100416, 1470080434980994825, 67236889676684657943, 3269565144147886318168 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`See A088956 for the definition of the hyperbinomial transform.`
	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: 3031+291+44+129+1303 = 680 = A089471(4), and equals the hyperbinomial transform at n=4: 1251+641+184+429+1303 = 680 = A089471(4).`
	CROSSREFS	`Cf. A089471, A088956.` `Sequence in context: A083072 A127770 A121630 this_sequence A014622 A067146 A030019` `Adjacent sequences: A089467 A089468 A089469 this_sequence A089471 A089472 A089473`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Nov 07 2003`

page 1

Search completed in 0.002 seconds

Last modified September 7 23:08 EDT 2008. Contains 143486 sequences.

AT&T Labs Research