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A197207
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 4,2,1,0,3 for x=0,1,2,3,4
8
1, 1, 1, 2, 5, 2, 3, 16, 16, 3, 4, 47, 100, 47, 4, 6, 154, 588, 588, 154, 6, 9, 496, 3649, 7073, 3649, 496, 9, 13, 1601, 22210, 82408, 82408, 22210, 1601, 13, 19, 5183, 135560, 977946, 1890344, 977946, 135560, 5183, 19, 28, 16777, 827698, 11746093, 44049565
OFFSET
1,4
COMMENTS
Every 0 is next to 0 4's, every 1 is next to 1 2's, every 2 is next to 2 1's, every 3 is next to 3 0's, every 4 is next to 4 3's
Table starts
..1.....1........2...........3..............4................6
..1.....5.......16..........47............154..............496
..2....16......100.........588...........3649............22210
..3....47......588........7073..........82408...........977946
..4...154.....3649.......82408........1890344.........44049565
..6...496....22210......977946.......44049565.......1989885480
..9..1601...135560....11746093.....1024514869......89745742142
.13..5183...827698...140398339....23694062554....4040991108566
.19.16777..5055418..1673987573...549372026526..182261563872132
.28.54298.30875671.19978425920.12743513094468.8218346291797149
LINKS
EXAMPLE
Some solutions for n=6 k=4
..0..0..0..1....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
..0..0..0..2....0..0..1..0....0..1..1..2....0..0..3..0....0..1..2..0
..1..0..3..1....1..1..2..0....1..2..0..1....0..2..1..1....0..0..1..0
..2..0..0..1....2..0..0..0....1..2..1..0....1..1..0..2....3..0..3..0
..1..0..0..2....1..0..1..2....1..0..3..0....2..1..1..1....0..0..0..0
..0..0..0..1....0..0..0..1....2..1..0..0....0..0..2..1....0..1..2..1
CROSSREFS
Column 1 is A000930
Sequence in context: A197613 A085220 A085219 * A197805 A334754 A187788
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Oct 11 2011
STATUS
approved