A082760 - OEIS

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A082760

Trinomial transform of central binomial coefficients (A000984).

1, 9, 133, 2283, 41589, 782149, 15007831, 291987327, 5738781717, 113670432141, 2265365597553, 45371770152927, 912463490703879, 18413786266130979, 372689501160357787, 7562267679664012693, 153785739808245476757

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..16.

FORMULA

a(n) = Sum[ Binomial[2k, k] Trinomial[n, k], {k, 0, 2n} ] where Trinomial[n, k] = trinomial coefficients (A027907)

a(n)=sum{k=0..n, sum{j=0..n, C(n, j)C(j, k)C(2(j+k), j+k)}}; - Paul Barry, Feb 15 2005

CROSSREFS

Sequence in context: A097999 A089547 A110273 * A268654 A112426 A213688

Adjacent sequences: A082757 A082758 A082759 * A082761 A082762 A082763

KEYWORD

easy,nonn

AUTHOR

Emanuele Munarini, May 21 2003

STATUS

approved