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A200169 Number of -n..n arrays x(0..5) of 6 elements with nonzero sum and with zero through 5 differences all nonzero.

%I A200169 #7 Nov 22 2023 21:40:02
%S A200169 0,700,12440,96884,438968,1504820,4141212,9922424,21253088,41894660,
%T A200169 76920336,133925952,222142748,354645912,547265784,820450936,
%U A200169 1198350296,1712627752,2397846536,3298959016,4465613072,5958544292,7844423744
%N A200169 Number of -n..n arrays x(0..5) of 6 elements with nonzero sum and with zero through 5 differences all nonzero.
%C A200169 Row 6 of A200165.
%H A200169 R. H. Hardin, <a href="/A200169/b200169.txt">Table of n, a(n) for n = 1..32</a>
%e A200169 Some solutions for n=5
%e A200169 ..2...-5....1...-4....1...-5...-5...-4...-4....2...-5...-5....1...-4...-5...-5
%e A200169 .-5....2...-3...-3....2....1....1....3....1...-3...-3....2....2...-3...-4...-4
%e A200169 ..5...-5....2....2...-5...-3...-3....1....4...-2....1...-2...-3...-5....2....4
%e A200169 .-1...-2....4...-3...-3...-1...-5....2....2....4....4...-4....2...-1...-1...-2
%e A200169 ..5....5...-4....3...-5...-5...-2...-3...-2...-2....1....5...-1...-4....5....1
%e A200169 ..4...-2...-5....4...-1...-1....5....3...-3....5...-3....2....1...-1...-5...-5
%Y A200169 Cf. A200165.
%K A200169 nonn
%O A200169 1,2
%A A200169 _R. H. Hardin_, Nov 13 2011