A198253 - OEIS

A198253

T(n,k)=Number of 2nX2k 0..4 arrays with values 0..4 introduced in row major order and each element equal to exactly two horizontal and vertical neighbors

1, 1, 1, 2, 5, 2, 5, 40, 40, 5, 15, 485, 1675, 485, 15, 51, 6528, 81440, 81440, 6528, 51, 187, 90641, 4059950, 14520192, 4059950, 90641, 187, 715, 1268648, 203087097, 2606019472, 2606019472, 203087097, 1268648, 715, 2795, 17794141, 10164141586

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

1,4

COMMENTS

Table starts

.....1.........1............2..............5...............15...............51

.....1.........5...........40............485.............6528............90641

.....2........40.........1675..........81440..........4059950........203087097

.....5.......485........81440.......14520192.......2606019472.....468268681671

....15......6528......4059950.....2606019472....1683040515731.1088857594220452

....51.....90641....203087097...468268681671.1088857594220452

...187...1268648..10164141586.84165911962889

...715..17794141.508740409496

..2795.249720000

.11051

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..60

EXAMPLE

Some solutions for n=5 k=3

..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0

..0..1..1..2..2..0....0..1..1..2..2..0....0..1..1..2..2..0....0..1..1..2..2..0

..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..3..3..0....0..3..3..0..0..0

..3..3..4..4..3..3....3..3..3..3..4..4....1..1..0..3..3..0....0..3..3..0..4..4

..3..3..4..4..3..3....3..0..0..3..4..4....1..1..0..0..0..0....0..0..0..0..4..4

..4..4..0..0..4..4....3..0..0..3..0..0....4..4..3..3..2..2....3..3..1..1..2..2

..4..4..0..0..4..4....3..3..3..3..0..0....4..4..3..3..2..2....3..3..1..1..2..2

..0..0..1..1..3..3....2..2..4..4..1..1....0..0..4..4..3..3....1..1..2..2..0..0

CROSSREFS

Sequence in context: A240642 A240774 A198604 * A159989 A195702 A309714

Adjacent sequences: A198250 A198251 A198252 * A198254 A198255 A198256

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Oct 22 2011

STATUS

approved