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Number of (n+1)X(n+1) 0..2 arrays with nondecreasing max(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

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`%I #4 Nov 25 2014 13:28:40
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`%S 40,825,17718,379397,7838610,157109231,3053953408,58004548986,
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`%T 1079249449510,19767161106242,357114500472550,6382421843315156,
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`%U 112996863345488574,1985335360177376640,34647966432663124048
`

`%N Number of (n+1)X(n+1) 0..2 arrays with nondecreasing max(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
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`%C Diagonal of A250592
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`%e Some solutions for n=3
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`%e ..0..0..0..0....0..0..0..2....0..0..1..1....0..1..1..1....0..0..0..0
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`%e ..0..0..1..1....1..1..1..2....1..1..2..2....1..1..1..2....0..0..0..2
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`%e ..2..1..1..2....1..1..2..1....2..1..2..2....2..1..2..2....0..1..2..1
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`%e ..0..2..2..1....0..2..1..2....0..2..2..2....1..2..2..2....0..2..1..2
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`%K nonn
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`%O 1,1
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`%A _R. H. Hardin_, Nov 25 2014
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