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Search: id:A124429
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A124429 Antidiagonal sums of triangle A124428. +0
3
1, 1, 1, 2, 3, 5, 8, 13, 22, 36, 61, 102, 172, 292, 493, 841, 1429, 2439, 4169, 7124, 12216, 20930, 35940, 61749, 106155, 182749, 314638, 542338, 935195, 1613593, 2786037, 4811920, 8316435, 14378247, 24870062, 43036264, 74496224, 129008514 (list; graph; listen)
OFFSET

0,4

FORMULA

a(n) = Sum_{k=0..[n/3]} C([(n-k)/2],k)*C([(n-k+1)/2],k)).

PROGRAM

(PARI) a(n)=sum(k=0, n\3, binomial((n-k)\2, k)*binomial((n-k+1)\2, k))

CROSSREFS

Cf. A124428, A124430.

Sequence in context: A053412 A004697 A018151 this_sequence A018152 A005683 A052968

Adjacent sequences: A124426 A124427 A124428 this_sequence A124430 A124431 A124432

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Oct 31 2006

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Last modified December 10 00:48 EST 2009. Contains 170565 sequences.


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