A197061 T(n,k)=Number of nXk 0..4 arrays with each element equal to the number of its horizontal and vertical neighbors equal to 2

1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 6, 4, 1, 1, 5, 10, 10, 5, 1, 1, 7, 14, 18, 14, 7, 1, 1, 10, 22, 28, 28, 22, 10, 1, 1, 14, 38, 47, 48, 47, 38, 14, 1, 1, 19, 67, 93, 90, 90, 93, 67, 19, 1, 1, 26, 111, 189, 200, 211, 200, 189, 111, 26, 1, 1, 36, 179, 357, 447, 547, 547, 447, 357, 179

Offset

1,5

Comments

Every 0 is next to 0 2's, every 1 is next to 1 2's, every 2 is next to 2 2's, every 3 is next to 3 2's, every 4 is next to 4 2's

Table starts

.1..1...1...1....1....1.....1......1......1.......1........1........1.........1

.1..2...3...4....5....7....10.....14.....19......26.......36.......50........69

.1..3...6..10...14...22....38.....67....111.....179......291......485.......812

.1..4..10..18...28...47....93....189....357.....640.....1156.....2162......4102

.1..5..14..28...48...90...200....447....937....1881.....3813.....7947.....16720

.1..7..22..47...90..211...547...1364...3190....7411....17630....42520....101976

.1.10..38..93..200..547..1685...4932..13343...35901....99603...280909....785677

.1.14..67.189..447.1364..4932..17107..53799..165149...524549..1712026...5562691

.1.19.111.357..937.3190.13343..53799.194842..681597..2466587..9217291..34398833

.1.26.179.640.1881.7411.35901.165149.681597.2735810.11384350.48773880.208190334

Links

R. H. Hardin, Table of n, a(n) for n = 1..419

Example

Some solutions for n=6 k=4
..0..0..1..1....0..0..0..0....0..0..0..0....0..0..0..0....0..1..2..2
..0..1..2..2....0..0..0..0....1..1..0..0....1..1..1..1....0..1..2..2
..0..1..2..2....0..0..0..0....2..2..1..0....2..2..2..2....0..0..1..1
..1..1..1..1....1..1..0..0....2..2..1..0....2..3..3..2....0..1..1..0
..2..2..1..0....2..2..1..0....1..1..0..0....2..2..2..2....1..2..2..1
..2..2..1..0....2..2..1..0....0..0..0..0....1..1..1..1....1..2..2..1

Crossrefs

Column 2 is A003269(n+3)

Sequence in context: A108363 A329052 A076831 * A230861 A119724 A162424

Adjacent sequences: A197058 A197059 A197060 * A197062 A197063 A197064

Keyword

nonn,tabl

Author

R. H. Hardin Oct 09 2011

Status

approved