A224037 Number of nX7 0..1 arrays with antidiagonals unimodal and rows and diagonals nondecreasing.

8, 43, 161, 508, 1505, 4395, 12856, 37808, 111683, 331170, 985275, 2939862, 8794582, 26369119, 79223520, 238443031, 718767456, 2169574122, 6556325043, 19832290886, 60040894419, 181897703946, 551397549898, 1672317703423, 5074042241500

Offset: 1

Author

R. H. Hardin Mar 30 2013

Keywords

• nonn

Comments

Column 7 of A224038

Examples

			Some solutions for n=3
..0..0..0..0..0..0..1....0..0..0..0..0..0..0....0..0..0..0..0..1..1
..0..0..1..1..1..1..1....0..0..0..0..1..1..1....1..1..1..1..1..1..1
..0..0..0..1..1..1..1....0..0..0..1..1..1..1....1..1..1..1..1..1..1
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 8*a(n-1) -21*a(n-2) +15*a(n-3) +15*a(n-4) -16*a(n-5) -9*a(n-6) +12*a(n-7) -8*a(n-8) +10*a(n-9) -12*a(n-10) +16*a(n-11) -16*a(n-12) +32*a(n-13) for n>16