A250526 Number of (n+1)X(7+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.

112373, 682921, 2771901, 9240559, 27710543, 78204775, 212707851, 565044857, 1478308633, 3832617341, 9897332961, 25578008747, 66435440107, 174080131035, 461563409759, 1240974976389, 3386986664197, 9384561755841, 26376931311941

Offset: 1

Author

R. H. Hardin, Nov 24 2014

Keywords

• nonn

Comments

Column 7 of A250527

Examples

			Some solutions for n=1
..1..0..1..2..0..0..0..0....2..1..2..1..1..0..1..1....2..1..2..2..0..1..0..0
..0..0..1..2..0..1..1..2....0..0..1..1..1..0..1..2....1..0..1..1..1..2..1..2
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..194

Formula

Empirical: a(n) = 14*a(n-1) -85*a(n-2) +294*a(n-3) -639*a(n-4) +906*a(n-5) -839*a(n-6) +490*a(n-7) -164*a(n-8) +24*a(n-9)