A185480 Number of (n+1)X3 binary arrays with every 2X2 subblock determinant equal to some horizontal or vertical neighbor 2X2 subblock determinant

30, 148, 684, 3262, 15402, 73094, 346356, 1642258, 7785218, 36909314, 174980330, 829558720, 3932814406, 18644913662, 88392840864, 419057759044, 1986692502674, 9418623349146, 44652337958296, 211690309447022, 1003593296864578

Offset

1,1

Comments

Column 2 of A185487

Links

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

Formula

Empirical: a(n)=8*a(n-1)-17*a(n-2)+a(n-3)+43*a(n-4)-71*a(n-5)+48*a(n-6)-9*a(n-7)-4*a(n-8)+10*a(n-9)-2*a(n-10) for n>12

Example

Some solutions for 5X3
..0..0..0....1..0..1....1..0..0....0..1..1....0..1..1....1..1..0....1..0..1
..0..0..0....1..0..0....0..0..0....0..0..0....1..1..0....1..1..1....1..0..0
..1..0..1....1..0..0....1..0..0....1..1..0....0..0..0....0..0..1....1..0..1
..0..0..0....1..0..1....1..1..0....1..1..0....0..1..0....1..0..1....1..0..0
..1..1..0....1..0..1....0..1..1....0..1..1....0..1..0....0..0..1....1..0..0

Crossrefs

Sequence in context: A126417 A135175 A186895 * A316459 A342483 A206040

Adjacent sequences: A185477 A185478 A185479 * A185481 A185482 A185483

Keyword

nonn

Author

R. H. Hardin Jan 28 2011

Status

approved