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Search: id:A082760
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| A082760 |
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Trinomial transform of central binomial coefficients (A000984). |
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+0
2
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| 1, 9, 133, 2283, 41589, 782149, 15007831, 291987327, 5738781717, 113670432141, 2265365597553, 45371770152927, 912463490703879, 18413786266130979, 372689501160357787, 7562267679664012693, 153785739808245476757
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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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 (pbarry(AT)wit.ie), Feb 15 2005
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CROSSREFS
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Sequence in context: A097999 A089547 A110273 this_sequence A112426 A163200 A034723
Adjacent sequences: A082757 A082758 A082759 this_sequence A082761 A082762 A082763
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KEYWORD
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easy,nonn
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AUTHOR
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Emanuele Munarini (munarini(AT)mate.polimi.it), May 21 2003
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