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A334683 Antidiagonal sums of A068914. 0
1, 1, 2, 3, 5, 7, 12, 17, 30, 44, 79, 120, 218, 341, 625, 1001, 1848, 3016, 5603, 9283, 17342, 29085, 54606, 92513, 174456, 298111, 564333, 971563, 1845364, 3198130, 6092038, 10621153, 20282471, 35554559, 68042537, 119874494, 229840130, 406794862, 781246800, 1388643835 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..39.

MATHEMATICA

T[n_, k_]:=Sum[(-1)^j*Binomial[n, Floor[(n+(k+2)j)/2]], {j, Floor[-n/(k+2)], Ceiling[n/(k+2)]}]; Table[Sum[T[n-k, k], {k, 0, n}], {n, 0, 39}]

PROG

(PARI) T(n, k) = sum(j=floor(-n/(k+2)), ceil(n/(k+2)), (-1)^j*binomial(n, floor((n+(k+2)*j)/2))); \\ A068914

a(n) = sum(k=0, n, T(n-k, k)); \\ Michel Marcus, May 09 2020

CROSSREFS

Cf. A068914.

Sequence in context: A002965 A206290 A091696 * A280303 A048808 A263358

Adjacent sequences:  A334680 A334681 A334682 * A334684 A334685 A334686

KEYWORD

nonn

AUTHOR

Stefano Spezia, May 08 2020

STATUS

approved

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Last modified April 14 06:30 EDT 2021. Contains 342946 sequences. (Running on oeis4.)