A186806 T(n,k)=Number of (n+2)X(k+2) binary arrays with no 3X3 subblock commuting with any horizontal or vertical neighbor 3X3 subblock

512, 3984, 3984, 31204, 59907, 31204, 244558, 906615, 906615, 244558, 1916364, 13730715, 26628581, 13730715, 1916364, 15016660, 207885695, 782510382, 782510382, 207885695, 15016660, 117671951, 3147544633, 22986441710

Offset

1,1

Comments

Table starts

.........512............3984.............31204.............244558

........3984...........59907............906615...........13730715

.......31204..........906615..........26628581..........782510382

......244558........13730715.........782510382........44618824642

.....1916364.......207885695.......22986441710......2543130767720

....15016660......3147544633......675297305236....144968185692408

...117671951.....47657171957....19839195220290...8263791225579948

...922087441....721577251158...582841090096150.471067696528736345

..7225552800..10925394777419.17122871714488347

.56620029719.165421364939032

Links

R. H. Hardin, Table of n, a(n) for n = 1..71

Example

Some solutions for 5X4
..0..0..0..0....0..0..1..0....1..0..0..1....1..0..0..0....1..0..0..0
..1..0..0..1....1..0..0..0....0..0..0..0....0..0..0..1....1..0..0..1
..0..0..1..1....0..1..1..0....1..0..1..0....1..0..1..0....0..1..1..1
..1..1..0..0....0..0..1..0....1..0..1..1....1..1..0..1....0..0..0..0
..1..1..0..0....1..0..1..0....0..1..0..1....1..1..0..0....1..1..0..1

Crossrefs

Sequence in context: A197710 A198074 A197908 * A186798 A017067 A186845

Adjacent sequences: A186803 A186804 A186805 * A186807 A186808 A186809

Keyword

nonn,tabl

Author

R. H. Hardin Feb 26 2011

Status

approved