A186615 Number of (n+5)X10 binary arrays with every 6X6 subblock commuting with each horizontal and vertical neighbor 6X6 subblock

3764191, 137138, 172192, 439891, 1630171, 3608091, 4710363, 4814107, 4823775, 4832547, 4841327, 4850135, 4859207, 4871003, 4898423, 5002339, 5546319, 7716983, 12433160, 17255805, 22103742, 27036947, 32418996, 39436537, 49008663, 58699053

Offset

1,1

Comments

Column 5 of A186619

Links

R. H. Hardin, Table of n, a(n) for n = 1..50

Formula

Empirical: a(n)=a(n-1)+a(n-4)-a(n-5)+a(n-6)-a(n-7)-a(n-10)+a(n-11)+a(n-12)-a(n-16) for n>22

Example

Some solutions for 7X10
..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..1..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..0
..0..1..0..0..0..0..0..0..0..0....1..0..0..0..0..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..1..0..0..0..0..0..0..0....1..0..0..0..0..0..0..0..0..0

Crossrefs

Sequence in context: A333744 A127879 A206760 * A175890 A083601 A209516

Adjacent sequences: A186612 A186613 A186614 * A186616 A186617 A186618

Keyword

nonn

Author

R. H. Hardin Feb 24 2011

Status

approved