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%I
%S 1,8953,856945,17538157,167729959,1018872811,4577127763,16581420835,
%T 51125645317,139071924069,342237634221,775938666273,1643151128475,
%U 3284313415527,6247630238079,11385659856231,19984965376233,33936690554865,55957080110537,89868204063989,140950465124591
%N Number of arrays of 10 integers in -n..n with sum zero.
%H Seiichi Manyama, <a href="/A322537/b322537.txt">Table of n, a(n) for n = 0..10000</a>
%F a(n) = [x^(10*n)] (Sum_{k=0..2*n} x^k)^10.
%t a[n_] := Coefficient[Expand[Sum[x^k, {k, 0, 2n}]^10, x], x, 10n]; Array[a, 25, 0] (* _Amiram Eldar_, Dec 14 2018 *)
%o (PARI) {a(n) = polcoeff((sum(k=0, 2*n, x^k))^10, 10*n, x)}
%Y Row 10 of A201552.
%K nonn
%O 0,2
%A _Seiichi Manyama_, Dec 14 2018
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