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Number of nondecreasing -n..n vectors of length 6 whose dot product with some nonincreasing -n..n vector equals 6.
0

%I #10 Mar 31 2024 17:12:36

%S 2,128,756,2498,6900,17812,37358,72000,130722,224132,367754,580236,

%T 887652,1319408,1912914,2712244

%N Number of nondecreasing -n..n vectors of length 6 whose dot product with some nonincreasing -n..n vector equals 6.

%e Some solutions for n=3:

%e 2 -1 -3 -3 -3 -3 -2 -3 0 -2 -3 -2 -3 -2 -3 -1

%e 3 -1 -3 -3 0 -1 -2 0 1 -1 0 -2 -2 -2 -3 -1

%e 3 -1 -3 -2 3 -1 -1 0 3 0 1 -2 -2 -2 -3 -1

%e 3 -1 -2 -2 3 2 -1 0 3 0 2 -2 -2 -1 -3 -1

%e 3 1 1 -2 3 2 1 2 3 0 3 2 -2 2 -1 -1

%e 3 1 3 3 3 3 3 3 3 0 3 2 -1 2 -1 2

%Y Row 6 of A226398.

%K nonn,more

%O 1,1

%A _R. H. Hardin_, Jun 06 2013