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A322536 Number of arrays of 9 integers in -n..n with sum zero. 2
1, 3139, 180325, 2636263, 19610233, 97464799, 370487485, 1163205475, 3164588407, 7702189345, 17148949027, 35500063501, 69161990275, 128000343121, 226698100687, 386480229085, 637265493637, 1020310909975, 1591418959705, 2424782370859, 3617545938373, 5295169534843 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..10000

FORMULA

a(n) = [x^(9*n)] (Sum_{k=0..2*n} x^k)^9.

MATHEMATICA

a[n_] := Coefficient[Expand[Sum[x^k, {k, 0, 2n}]^9, x], x, 9n]; Array[a, 25, 0] (* Amiram Eldar, Dec 14 2018 *)

PROG

(PARI) {a(n) = polcoeff((sum(k=0, 2*n, x^k))^9, 9*n, x)}

CROSSREFS

Row 9 of A201552.

Sequence in context: A187645 A187640 A187639 * A172641 A172744 A172819

Adjacent sequences: A322533 A322534 A322535 * A322537 A322538 A322539

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Dec 14 2018

STATUS

approved

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Last modified February 7 15:35 EST 2023. Contains 360127 sequences. (Running on oeis4.)