A185504 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal sum less antidiagonal sum equal to some horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum

0, 99, 99, 163, 697, 163, 1107, 4451, 4451, 1107, 2887, 30775, 41643, 30775, 2887, 13347, 207705, 511253, 511253, 207705, 13347, 43105, 1418183, 5616321, 10355969, 5616321, 1418183, 43105, 174081, 9658679, 64545575, 195165583, 195165583

Offset

1,2

Comments

Table starts

.......0........99........163........1107.........2887........13347.......43105

......99.......697.......4451.......30775.......207705......1418183.....9658679

.....163......4451......41643......511253......5616321.....64545575...727129819

....1107.....30775.....511253....10355969....195165583...3784477987.72577946431

....2887....207705....5616321...195165583...6164545679.201869155765

...13347...1418183...64545575..3784477987.201869155765

...43105...9658679..727129819.72577946431

..174081..65903901.8283584625

..613897.449371311

.2364597

Links

R. H. Hardin, Table of n, a(n) for n = 1..59

Example

Some solutions for 4X3
..1..2..1....0..0..2....2..2..2....1..1..0....2..0..2....1..1..2....2..0..1
..1..2..2....2..1..2....2..1..0....1..1..0....2..1..2....0..0..1....1..0..2
..0..1..2....2..1..2....2..2..2....0..1..1....1..1..1....2..1..1....1..1..2
..1..1..1....2..1..2....0..0..0....2..2..1....0..0..0....1..1..2....2..1..1

Crossrefs

Sequence in context: A033419 A110397 A298509 * A304009 A305359 A213157

Adjacent sequences: A185501 A185502 A185503 * A185505 A185506 A185507

Keyword

nonn,tabl

Author

R. H. Hardin Jan 29 2011

Status

approved