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A124429 Antidiagonal sums of triangle A124428. 2
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; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Table of n, a(n) for n=0..37.

FORMULA

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

PROG

(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: A186085 A018151 A227374 * A018152 A293078 A005683

Adjacent sequences:  A124426 A124427 A124428 * A124430 A124431 A124432

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Oct 31 2006

STATUS

approved

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Last modified January 16 06:59 EST 2019. Contains 319188 sequences. (Running on oeis4.)