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.
9, 34, 114, 350, 996, 2666, 6810, 16798, 40368, 95114, 220710, 505982, 1148556, 2585674, 5779890, 12840638, 28371816, 62384042
Offset: 1
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Examples
Some solutions for n=4 ..1..0..0..0..0....1..0..0..0..0....1..1..0..0..0....1..1..1..0..0 ..1..0..0..0..0....1..1..1..1..1....1..1..0..0..1....1..1..1..0..0 ..1..0..0..0..0....0..0..0..0..0....1..1..0..0..1....1..1..1..0..0 ..1..0..0..0..1....0..0..0..0..1....1..1..0..0..1....1..1..1..0..0 ..1..0..0..0..1....0..0..0..0..1....1..1..0..0..1....1..1..1..0..0
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