A322537 Number of arrays of 10 integers in -n..n with sum zero.

1, 8953, 856945, 17538157, 167729959, 1018872811, 4577127763, 16581420835, 51125645317, 139071924069, 342237634221, 775938666273, 1643151128475, 3284313415527, 6247630238079, 11385659856231, 19984965376233, 33936690554865, 55957080110537, 89868204063989, 140950465124591

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (10, -45, 120, -210, 252, -210, 120, -45, 10, -1).

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