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%I #5 Mar 31 2012 12:36:43
%S 19,140,860,4572,22183,100362,432048,1791740,7225068,28510387,
%T 110629661,423640742,1605361751,6032626211,22517083366,83589139136,
%U 308933515758,1137661210293,4177146453272,15300167480847,55930646132694
%N Number of nX4 0..2 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally
%C Column 4 of A201155
%H R. H. Hardin, <a href="/A201151/b201151.txt">Table of n, a(n) for n = 1..49</a>
%e Some solutions for n=5
%e ..0..0..0..1....0..0..0..1....0..0..0..1....0..0..0..0....0..0..0..1
%e ..0..1..1..1....0..1..1..1....0..0..1..2....0..0..0..0....0..0..1..2
%e ..0..1..2..1....0..1..2..1....0..1..1..2....0..0..0..1....0..0..2..2
%e ..0..1..1..1....1..1..2..2....0..2..1..2....0..2..1..2....0..1..2..2
%e ..0..2..2..2....2..2..2..2....0..2..1..2....1..1..2..2....0..1..2..2
%K nonn
%O 1,1
%A _R. H. Hardin_ Nov 27 2011