A089471 - OEIS

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

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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