A185766 Number of (n+1)X7 binary arrays with no 2X2 subblock trace equal to any horizontal or vertical neighbor 2X2 subblock trace

1736, 10592, 75192, 562800, 4430912, 35108016, 278758936, 2212654240, 17567479016, 139478572544, 1107370142640, 8792101180232, 69804143650776, 554214418338440, 4400166223484904, 34935244761367808, 277367986882503912

Offset

1,1

Comments

Column 6 of A185769

Links

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

Formula

Empirical: a(n)=a(n-1)+54*a(n-2)+60*a(n-3)-400*a(n-4)-155*a(n-5)+924*a(n-6)-1220*a(n-7)-76*a(n-8)+1725*a(n-9)-642*a(n-10)-412*a(n-11)-88*a(n-12)+100*a(n-13)+40*a(n-14) for n>18

Example

Some solutions for 3X7
..0..0..0..1..1..0..0....0..1..0..1..1..0..0....0..1..1..1..0..0..0
..1..0..1..0..0..1..0....1..0..1..0..0..1..0....1..0..1..0..1..1..0
..1..1..0..0..0..1..1....0..0..0..1..0..1..1....1..0..0..1..1..1..0

Crossrefs

Sequence in context: A253696 A253703 A235014 * A179160 A043653 A194775

Adjacent sequences: A185763 A185764 A185765 * A185767 A185768 A185769

Keyword

nonn

Author

R. H. Hardin Feb 03 2011

Status

approved