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A250748 Number of (n+1)X(n+1) 0..2 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 #5 Nov 27 2014 11:17:18

%S 32,237,1353,6663,29814,124785,497471,1911819,7141428,26081157,

%T 93524517,330341391,1152105314,3974940633,13587035451,46067386899,

%U 155081690112,518770438893,1725559820033,5710472045463,18811007467662,61706609086017

%N Number of (n+1)X(n+1) 0..2 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 A250755

%H R. H. Hardin, <a href="/A250748/b250748.txt">Table of n, a(n) for n = 1..53</a>

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 27 2014

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Last modified August 31 16:22 EDT 2024. Contains 375572 sequences. (Running on oeis4.)