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

%I #9 Mar 31 2024 17:12:24

%S 7,202,921,2959,7821,18389,38225,73227,132057,225713,369579,582397,

%T 889777,1321747,1915261

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

%e Some solutions for n=3:

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

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

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

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

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

%e 3 3 3 1 3 2 1 3 2 2 3 3 1 3 2 3

%Y Row 6 of A226410.

%K nonn,more

%O 1,1

%A _R. H. Hardin_, Jun 06 2013