A183541 T(n,k)=Number of nXk 0..3 arrays with each element equal to either the sum mod 4 of its horizontal and vertical neighbors or the sum mod 4 of its diagonal and antidiagonal neighbors

1, 4, 4, 7, 16, 7, 10, 43, 43, 10, 22, 128, 133, 128, 22, 43, 416, 1326, 1326, 416, 43, 73, 1287, 4583, 16704, 4583, 1287, 73, 139, 3996, 28498, 124568, 124568, 28498, 3996, 139, 268, 12594, 146315, 1260440, 1150368, 1260440, 146315, 12594, 268, 487, 39539

Offset

1,2

Comments

Table starts

...1.....4......7......10......22......43.......73....139...268.487

...4....16.....43.....128.....416....1287.....3996..12594.39539

...7....43....133....1326....4583...28498...146315.714260

..10...128...1326...16704..124568.1260440.12593728

..22...416...4583..124568.1150368

..43..1287..28498.1260440

..73..3996.146315

.139.12594

.268

Links

R. H. Hardin, Table of n, a(n) for n = 1..49

Example

Some solutions for 4X3
..3..0..1....0..1..0....0..0..0....2..0..0....0..3..3....3..3..0....2..0..0
..3..2..1....3..0..2....0..0..1....2..2..0....3..0..0....0..0..0....0..2..0
..2..2..2....2..2..2....3..0..1....2..3..2....0..0..1....0..1..0....3..0..1
..2..0..2....0..2..0....3..0..0....3..0..2....1..1..0....0..0..1....3..0..1

Crossrefs

Column 1 is A084386(n+1)

Sequence in context: A211643 A284640 A036605 * A323657 A238389 A115292

Adjacent sequences: A183538 A183539 A183540 * A183542 A183543 A183544

Keyword

nonn,tabl

Author

R. H. Hardin Jan 05 2011

Status

approved