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Number of nondecreasing -n..n vectors of length 4 whose dot product with some nonincreasing -n..n vector equals 4.
1

%I #7 Mar 23 2024 17:30:29

%S 2,48,146,448,912,1646,2812,4564,6826,9996,14208,19364,26146,34488,

%T 44090,56418,71092,87614,107854,131136,156880,187906,223218,261362,

%U 305902,356414,410362,472988,542558,615414,700038,792754,890046,1001146,1120332

%N Number of nondecreasing -n..n vectors of length 4 whose dot product with some nonincreasing -n..n vector equals 4.

%C Row 4 of A226398.

%H R. H. Hardin, <a href="/A226401/b226401.txt">Table of n, a(n) for n = 1..45</a>

%e Some solutions for n=3:

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 06 2013