A186604 Number of (n+4)X8 binary arrays with every 5X5 subblock commuting with each horizontal and vertical neighbor 5X5 subblock

42120, 3455, 5813, 19248, 54040, 90664, 98376, 99820, 101072, 102332, 103620, 105172, 108332, 117492, 152956, 244561, 344142, 446775, 556660, 694109, 888987, 1093393, 1304011, 1531041, 1821099, 2260191, 2808392, 3465438, 4248781, 5232601

Offset

1,1

Comments

Column 4 of A186609

Links

R. H. Hardin, Table of n, a(n) for n = 1..117

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>18

Example

Some solutions for 6X8
..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..0..0..0..0..1....0..0..0..0..0..0..1..1
..0..0..0..0..0..0..1..1....1..0..0..0..0..0..1..1....1..0..0..0..0..0..1..1
..1..1..0..0..0..0..0..0....1..0..0..0..0..0..0..0....1..0..0..0..0..0..0..0
..1..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

Crossrefs

Sequence in context: A031849 A151818 A374368 * A345154 A103155 A271749

Adjacent sequences: A186601 A186602 A186603 * A186605 A186606 A186607

Keyword

nonn

Author

R. H. Hardin Feb 24 2011

Status

approved