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%I #6 Jun 26 2022 04:48:25
%S 1259712,27993600,622080000,13824000000,144000000000,1500000000000,
%T 15625000000000,103359375000000,683722265625000,4522822787109375,
%U 22063334627250000,107629849274976000,525042322507616256
%N Number of (n+2) X (3+2) 0..2 arrays with nondecreasing sum of every three consecutive values in every row and column.
%C Column 3 of A250601.
%H R. H. Hardin, <a href="/A250596/b250596.txt">Table of n, a(n) for n = 1..41</a>
%e Some solutions for n=1
%e ..0..0..0..1..2....0..0..0..0..1....0..0..0..0..1....0..0..0..2..1
%e ..0..1..1..0..1....0..1..0..1..1....1..0..1..2..2....2..0..2..2..2
%e ..0..0..2..2..1....0..0..2..0..0....2..1..2..2..1....1..0..0..1..0
%Y Cf. A250601.
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 25 2014