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%I #5 Nov 28 2014 08:40:52
%S 100,2457,44797,626416,7134786,69543783,601566177,4741091128,
%T 34703305546,239290928999,1571038806045,9901650019496,60291096166330,
%U 356456047451631,2054525997174241,11582011158980816,64029681309724210,347906811859565887
%N Number of (n+1)X(n+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction
%C Diagonal of A250853
%H R. H. Hardin, <a href="/A250845/b250845.txt">Table of n, a(n) for n = 1..32</a>
%e Some solutions for n=3
%e ..3..3..3..2....2..2..2..2....3..2..3..3....3..3..2..2....3..2..2..2
%e ..1..1..1..2....0..0..1..1....2..2..3..3....1..2..2..2....0..1..1..2
%e ..0..0..0..1....0..0..2..2....0..0..2..2....2..3..3..3....0..1..1..2
%e ..0..2..2..3....1..1..3..3....0..1..3..3....0..1..2..2....0..2..2..3
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 28 2014
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