A186603 Number of (n+4)X7 binary arrays with every 5X5 subblock commuting with each horizontal and vertical neighbor 5X5 subblock

11884, 916, 1566, 5813, 19840, 44120, 61336, 66332, 67552, 68580, 69616, 70680, 72140, 75248, 88073, 126738, 189047, 256748, 327317, 408631, 516821, 649719, 789469, 935195, 1104491, 1339328, 1661182, 2057589, 2530541, 3108377, 3859944

Offset

1,1

Comments

Column 3 of A186609

Links

R. H. Hardin, Table of n, a(n) for n = 1..154

Formula

Empirical: a(n)=a(n-1)+a(n-3)-a(n-4)+a(n-5)-a(n-6)-a(n-8)+a(n-9)+a(n-10)-a(n-13) for n>19

Example

Some solutions for 6X7
..0..0..0..0..0..0..0....0..0..0..0..0..0..1....0..0..0..0..0..0..0
..0..0..0..0..0..0..0....0..0..0..0..0..0..0....0..0..0..0..0..0..0
..0..0..0..0..0..0..0....1..0..0..0..0..0..0....0..0..0..0..0..0..1
..0..0..0..0..0..0..0....0..0..0..0..0..0..0....0..0..0..0..0..0..0
..0..0..1..0..0..0..0....0..0..0..0..0..0..0....0..0..0..0..0..0..0
..0..1..1..0..0..0..0....1..0..0..0..0..0..0....0..0..0..0..0..0..0

Crossrefs

Sequence in context: A258905 A232673 A342351 * A346027 A222800 A230680

Adjacent sequences: A186600 A186601 A186602 * A186604 A186605 A186606

Keyword

nonn

Author

R. H. Hardin Feb 24 2011

Status

approved