A186128 T(n,k) = Number of (n+1) X (k+1) binary arrays with every 2 X 2 subblock diagonal sum less antidiagonal sum equal to some horizontal or vertical neighbor 2 X 2 subblock diagonal sum less antidiagonal sum.

0, 14, 14, 18, 38, 18, 50, 94, 94, 50, 74, 254, 262, 254, 74, 182, 682, 946, 946, 682, 182, 298, 1878, 2978, 4254, 2978, 1878, 298, 678, 5214, 10502, 17794, 17794, 10502, 5214, 678, 1186, 14606, 34678, 79782, 90054, 79782, 34678, 14606, 1186, 2566, 41138

Offset: 1

Author

R. H. Hardin, Feb 13 2011

Keywords

• nonn
• tabl

Comments

Table starts

....0.....14......18.......50........74.........182..........298...........678

...14.....38......94......254.......682........1878.........5214.........14606

...18.....94.....262......946......2978.......10502........34678........120290

...50....254.....946.....4254.....17794.......79782.......350266.......1574348

...74....682....2978....17794.....90054......539962......2915982......17129792

..182...1878...10502....79782....539962.....4056794.....29491822.....220010616

..298...5214...34678...350266...2915982....29491822....264173146....2630528360

..678..14606..120290..1574348..17129792...220010616...2630528360...33067061342

.1186..41138..405274..7039308..95854320..1637583596..24515504568..411149162658

.2566.116350.1395998.31791832.556779864.12272724126.241032804442.5153688541776

Examples

			Some solutions for 4 X 3
..1..0..0....0..0..1....1..1..0....0..1..0....1..0..0....0..0..1....1..0..1
..1..0..0....0..0..1....0..1..1....1..1..1....0..0..1....0..0..1....0..0..0
..0..0..0....1..0..0....0..1..1....1..0..1....1..0..0....1..0..0....0..1..0
..0..1..1....1..0..0....1..1..0....1..0..1....0..0..1....0..0..1....0..1..0
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..179