A186609 T(n,k)=Number of (n+4)X(k+4) binary arrays with every 5X5 subblock commuting with each horizontal and vertical neighbor 5X5 subblock

33554432, 6187, 6187, 11884, 543, 11884, 42120, 916, 916, 42120, 156276, 3455, 1566, 3455, 156276, 403567, 10882, 5813, 5813, 10882, 403567, 707955, 23977, 19840, 19248, 19840, 23977, 707955, 912129, 38625, 44120, 54040, 54040, 44120, 38625

Offset

1,1

Comments

Table starts

.33554432..6187.11884..42120.156276.403567.707955.912129.992000.1040400.1082540

.....6187...543...916...3455..10882..23977..38625..49309..52849...53957...54873

....11884...916..1566...5813..19840..44120..61336..66332..67552...68580...69616

....42120..3455..5813..19248..54040..90664..98376..99820.101072..102332..103620

...156276.10882.19840..54040.101080.126344.132040.133484.134936..136416..138160

...403567.23977.44120..90664.126344.169400.176696.178372.180076..182044..185232

...707955.38625.61336..98376.132040.176696.191232.193000.195032..198284..206372

...912129.49309.66332..99820.133484.178372.193000.195916.199176..207272..230808

...992000.52849.67552.101072.134936.180076.195032.199176.208164..231708..275600

..1040400.53957.68580.102332.136416.182044.198284.207272.231708..276500..325272

Links

R. H. Hardin, Table of n, a(n) for n = 1..720

Formula

Empirical, for all columns: 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>21,20,19,18,19,20,21,22 respectively for k in 1..8

Example

Some solutions for 7X6
..0..0..0..0..0..0....0..0..0..1..1..1....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..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..0..0..0..0
..1..1..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....1..1..0..0..0..0
..1..1..1..0..0..0....0..0..0..0..0..0....1..0..0..0..0..0....1..1..0..0..0..0
..0..0..1..1..0..0....1..1..1..1..0..0....0..1..0..0..0..0....0..1..0..0..0..0

Crossrefs

Sequence in context: A184571 A011575 A186600 * A186601 A059277 A010813

Adjacent sequences: A186606 A186607 A186608 * A186610 A186611 A186612

Keyword

nonn,tabl

Author

R. H. Hardin Feb 24 2011

Status

approved