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A250869 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 x(i,j)+x(i-1,j) in the j direction 1

%I

%S 90,1456,16262,144248,1097986,7500960,47315662,280898512,1590567658,

%T 8673625464,45876777622,236629296200,1195160833298,5930230507888,

%U 28981276937886,139784115993376,666528024959098,3146266602049672

%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 x(i,j)+x(i-1,j) in the j direction

%C Diagonal of A250877

%H R. H. Hardin, <a href="/A250869/b250869.txt">Table of n, a(n) for n = 1..35</a>

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 28 2014

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Last modified February 6 23:12 EST 2023. Contains 360111 sequences. (Running on oeis4.)