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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 8
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
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..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
..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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Oct 22 2011
STATUS
approved

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Last modified March 28 14:38 EDT 2024. Contains 371254 sequences. (Running on oeis4.)