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

1,1

Comments

Column 8 of A183688

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)+24960936*a(n-9)+75737800*a(n-10)-253751744*a(n-11)-503746592*a(n-12)+1513486656*a(n-13)+1775133568*a(n-14)-4833383936*a(n-15)-2525235200*a(n-16)+6285426688*a(n-17)

Example

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

Crossrefs

Sequence in context: A219317 A281238 A268808 * A269051 A282287 A268627

Adjacent sequences: A183684 A183685 A183686 * A183688 A183689 A183690

Keyword

nonn

Author

R. H. Hardin Jan 06 2011

Status

approved