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A196078
T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 0,3,2,1,4 for x=0,1,2,3,4
8
1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 6, 1, 1, 6, 0, 0, 2, 6, 8, 6, 2, 0, 0, 8, 8, 39, 39, 8, 8, 0, 0, 12, 12, 60, 77, 60, 12, 12, 0, 0, 10, 28, 111, 296, 296, 111, 28, 10, 0, 0, 32, 36, 343, 931, 1126, 931, 343, 36, 32, 0, 0, 26, 63, 861, 2638, 4237, 4237, 2638, 861, 63, 26, 0, 0
OFFSET
1,8
COMMENTS
Every 0 is next to 0 0's, every 1 is next to 1 3's, every 2 is next to 2 2's, every 3 is next to 3 1's, every 4 is next to 4 4's
Table starts
.1..0..0....0.....0......0.......0........0..........0..........0...........0
.0..1..2....0.....6......2.......8.......12.........10.........32..........26
.0..2..1....1.....6......8......12.......28.........36.........63.........147
.0..0..1....8....39.....60.....111......343........861.......2115........5016
.0..6..6...39....77....296.....931.....2638.......8969......29941.......99585
.0..2..8...60...296...1126....4237....24210......91541.....440533.....1942297
.0..8.12..111...931...4237...31062...156559....1100005....6068247....36690646
.0.12.28..343..2638..24210..156559..1430161...10930614...88029348...716706035
.0.10.36..861..8969..91541.1100005.10930614..124227477.1328006526.14636988894
.0.32.63.2115.29941.440533.6068247.88029348.1328006526
LINKS
EXAMPLE
Some solutions for n=6 k=4
..0..2..2..2....0..1..1..0....1..3..1..1....0..1..1..0....0..1..1..0
..2..2..0..2....1..3..3..1....1..1..1..3....1..3..3..1....1..3..3..1
..2..0..1..2....0..1..1..1....3..1..0..1....0..1..1..1....1..1..1..0
..2..1..3..2....2..2..1..3....1..0..2..2....1..0..1..3....3..1..2..2
..2..0..1..2....2..2..1..1....0..1..2..2....3..1..1..1....1..1..2..2
..2..2..2..2....0..1..3..1....1..3..1..0....1..1..3..1....1..3..1..0
CROSSREFS
Sequence in context: A328842 A113302 A292946 * A287086 A180823 A049800
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Sep 27 2011
STATUS
approved