A183687 Number of (n+1)X9 binary arrays with every 2X2 subblock nonsingular.

768, 8912, 91136, 986128, 10382976, 110871040, 1174759296, 12503757968, 132720731392, 1411193901024, 14988337604480, 159306506171280, 1692418292451712, 17985312835495360, 191090003735667584

Offset: 1

Author

R. H. Hardin Jan 06 2011

Keywords

• nonn

Comments

Column 8 of A183688

Examples

			Some solutions for 3X9
..0..1..1..0..1..1..0..1..0....0..1..1..1..0..1..0..1..0
..1..1..0..1..0..1..1..0..1....1..1..0..1..1..0..1..0..1
..0..1..1..1..1..1..0..1..0....0..1..1..1..0..1..1..1..0
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n)=7*a(n-1)+162*a(n-2)-935*a(n-3)-10301*a(n-4)+50843*a(n-5)+343104*a(n-6)-1473463*a(n-7)-6611678*a(n-8)[phone]*a(n-9)[phone]*a(n-10)-253751744*a(n-11)-503746592*a(n-12)[phone]*a(n-13)[phone]*a(n-14)-4833383936*a(n-15)-2525235200*a(n-16)[phone]*a(n-17)