A089471 Equals the self-convolution of A089470 and also the hyperbinomial transform of A089470.

1, 2, 9, 66, 680, 9054, 147811, 2855574, 63656423, 1607072112, 45294892304, 1409197189256, 47954491442089, 1771493331491354, 70590010219153189, 3017771375030039066, 137763757493141082536, 6688261925293875095950

Offset

0,2

Comments

See A088956 for the definition of the hyperbinomial transform.

Links

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

Formula

a(n) = sum(k=1, n, A089470(k)*A089470(n-k)); a(n) = sum(k=0, n, (n-k+1)^(n-k-1)*binomial(n, k)*A089470(k)).

Example

The self-convolution of A089470 at n=4: a(4) = 680 = 303*1+29*1+4*4+1*29+1*303 and equals the hyperbinomial transform of A089470 at n=4: a(4) = 680 = 125*1+64*1+18*4+4*29+1*303.

Crossrefs

Cf. A089470, A088956.

Sequence in context: A152213 A259607 A214930 * A196193 A331817 A118804

Adjacent sequences: A089468 A089469 A089470 * A089472 A089473 A089474

Keyword

nonn

Author

Paul D. Hanna, Nov 07 2003

Status

approved