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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
0

%I #4 Nov 27 2014 13:53:57

%S 9,34,114,350,996,2666,6810,16798,40368,95114,220710,505982,1148556,

%T 2585674,5779890,12840638,28371816,62384042

%N 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 Diagonal of A250769

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 27 2014