A185750 T(n,k)=Number of (n+1)X(k+1) binary arrays with every 2X2 subblock trace equal to some horizontal or vertical neighbor 2X2 subblock trace

0, 24, 24, 40, 104, 40, 144, 544, 544, 144, 344, 2568, 4056, 2568, 344, 1000, 12656, 33768, 33768, 12656, 1000, 2688, 62112, 273928, 458320, 273928, 62112, 2688, 7528, 304584, 2237680, 6315600, 6315600, 2237680, 304584, 7528, 20648, 1494072

Offset

1,2

Comments

Table starts

.....0.......24.........40...........144.............344...............1000

....24......104........544..........2568...........12656..............62112

....40......544.......4056.........33768..........273928............2237680

...144.....2568......33768........458320.........6315600...........86568360

...344....12656.....273928.......6315600.......145680504.........3364965408

..1000....62112....2237680......86568360......3364965408.......130602553784

..2688...304584...18242392....1188841336.....77691779712......5075186680192

..7528..1494072..148782184...16318664224...1793861476320....197100662468008

.20648..7329384.1213377952..224021622784..41418279791200...7655862674452520

.57040.35956128.9895860408.3075298469624.956315991414968.297368484380040776

Links

R. H. Hardin, Table of n, a(n) for n = 1..219

Example

Some solutions for 4X3
..1..1..0....0..1..0....1..0..1....0..0..0....1..0..0....0..0..1....0..0..1
..1..1..1....0..1..0....1..1..1....1..0..0....1..0..1....0..0..0....0..1..1
..0..1..0....1..1..1....1..1..0....1..0..0....1..1..1....0..0..1....0..0..0
..0..1..0....0..1..1....1..0..0....0..0..0....1..1..0....0..1..1....1..0..1

Crossrefs

Sequence in context: A188311 A185497 A186939 * A040553 A183008 A022358

Adjacent sequences: A185747 A185748 A185749 * A185751 A185752 A185753

Keyword

nonn,tabl

Author

R. H. Hardin Feb 01 2011

Status

approved