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, 3133453432263477908109, 63955434412133621858329

Offset

0,2

Links

Table of n, a(n) for n=0..18.

Formula

a(n) = Sum_{k=0..2n} binomial(2k, k) * trinomial(n, k) where trinomial(n, k) = trinomial coefficients (A027907).

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

Crossrefs

Sequence in context: A097999 A089547 A110273 * A396798 A268654 A384984

Adjacent sequences: A082757 A082758 A082759 * A082761 A082762 A082763

Keyword

easy,nonn

Author

Emanuele Munarini, May 21 2003

Extensions

Revised by Sean A. Irvine, Dec 21 2025

Status

approved