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A322537 Number of arrays of 10 integers in -n..n with sum zero. 2
1, 8953, 856945, 17538157, 167729959, 1018872811, 4577127763, 16581420835, 51125645317, 139071924069, 342237634221, 775938666273, 1643151128475, 3284313415527, 6247630238079, 11385659856231, 19984965376233, 33936690554865, 55957080110537, 89868204063989, 140950465124591 (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^(10*n)] (Sum_{k=0..2*n} x^k)^10.

MATHEMATICA

a[n_] := Coefficient[Expand[Sum[x^k, {k, 0, 2n}]^10, x], x, 10n]; Array[a, 25, 0] (* Amiram Eldar, Dec 14 2018 *)

PROG

(PARI) {a(n) = polcoeff((sum(k=0, 2*n, x^k))^10, 10*n, x)}

CROSSREFS

Row 10 of A201552.

Sequence in context: A217604 A218389 A180298 * A172637 A172745 A172817

Adjacent sequences: A322534 A322535 A322536 * A322538 A322539 A322540

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Dec 14 2018

STATUS

approved

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Last modified January 27 17:21 EST 2023. Contains 359845 sequences. (Running on oeis4.)