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Number of (n+1)X(5+1) 0..2 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction
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%I #4 Nov 29 2014 15:02:06

%S 8298,67409,456514,2800667,16381510,92713991,514669302,2820364768,

%T 15340901571,83091814176,449262978479,2428510789441,13138233326277,

%U 71179859311296,386325547338598,2100810121737207,11446249430080861

%N Number of (n+1)X(5+1) 0..2 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction

%C Column 5 of A250994

%H R. H. Hardin, <a href="/A250991/b250991.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A250991/a250991.txt">Empirical recurrence of order 51</a>

%F Empirical recurrence of order 51 (see link above)

%e Some solutions for n=2

%e ..0..0..2..0..0..0....1..1..0..0..0..0....1..0..2..1..0..2....0..2..0..2..0..2

%e ..0..0..2..0..0..2....1..2..1..1..1..2....1..0..2..2..2..0....0..1..2..0..2..0

%e ..1..2..0..2..2..0....1..1..2..2..2..1....1..0..2..2..2..1....0..2..1..1..1..1

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 29 2014