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Number of (n+1) X (4+1) 0..3 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 #8 Jan 28 2025 15:59:56

%S 21326,289035,3091263,28135982,226449945,1660642705,11375090117,

%T 73739279943,459022341499,2761125746280,16191268966687,92865194391622,

%U 523878250294449,2912236729173199,16012243734396908,87174468796623908,471131292152987371,2529294690019286231

%N Number of (n+1) X (4+1) 0..3 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.

%H R. H. Hardin, <a href="/A250532/b250532.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=1:

%e ..1..1..3..1..1....1..0..0..2..2....0..0..0..0..2....0..0..0..2..2

%e ..0..3..1..3..1....0..1..1..3..2....2..2..3..2..1....1..1..3..2..3

%Y Column 4 of A250536.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 24 2014