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

1,2

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

Links

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

Example

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

Crossrefs

Sequence in context: A128883 A010853 A291510 * A105707 A325602 A157427

Adjacent sequences: A186125 A186126 A186127 * A186129 A186130 A186131

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 13 2011

Status

approved