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A250763 Number of (n+1)X(n+1) 0..1 arrays with nondecreasing 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.

%I A250763 #6 Jul 23 2025 12:45:28
%S A250763 9,34,114,350,996,2666,6810,16798,40368,95114,220710,505982,1148556,
%T A250763 2585674,5779890,12840638,28371816,62384042
%N A250763 Number of (n+1)X(n+1) 0..1 arrays with nondecreasing 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 A250763 Diagonal of A250769
%e A250763 Some solutions for n=4
%e A250763 ..1..0..0..0..0....1..0..0..0..0....1..1..0..0..0....1..1..1..0..0
%e A250763 ..1..0..0..0..0....1..1..1..1..1....1..1..0..0..1....1..1..1..0..0
%e A250763 ..1..0..0..0..0....0..0..0..0..0....1..1..0..0..1....1..1..1..0..0
%e A250763 ..1..0..0..0..1....0..0..0..0..1....1..1..0..0..1....1..1..1..0..0
%e A250763 ..1..0..0..0..1....0..0..0..0..1....1..1..0..0..1....1..1..1..0..0
%K A250763 nonn
%O A250763 1,1
%A A250763 _R. H. Hardin_, Nov 27 2014