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A197167
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 3,2,1,4,0 for x=0,1,2,3,4
7
1, 1, 1, 2, 5, 2, 3, 14, 14, 3, 4, 37, 66, 37, 4, 6, 104, 306, 306, 104, 6, 9, 290, 1489, 2573, 1489, 290, 9, 13, 803, 7106, 21826, 21826, 7106, 803, 13, 19, 2233, 34021, 183864, 331406, 183864, 34021, 2233, 19, 28, 6207, 162800, 1566649, 5021137, 5021137
OFFSET
1,4
COMMENTS
Every 0 is next to 0 3's, every 1 is next to 1 2's, every 2 is next to 2 1's, every 3 is next to 3 4's, every 4 is next to 4 0's
Table starts
..1.....1.......2.........3............4..............6.................9
..1.....5......14........37..........104............290...............803
..2....14......66.......306.........1489...........7106.............34021
..3....37.....306......2573........21826.........183864...........1566649
..4...104....1489.....21826.......331406........5021137..........76504483
..6...290....7106....183864......5021137......135820428........3683084153
..9...803...34021...1566649.....76504483.....3683084153......178698032203
.13..2233..162800..13348347...1160102790....99818807528.....8671417152697
.19..6207..779173.113287557..17605551567..2707589789345...420572258618870
.28.17242.3731019.961919858.267441999728.73439922027377.20392149427584727
LINKS
EXAMPLE
Some solutions for n=6 k=4
..0..0..0..0....0..0..0..1....0..2..1..0....0..1..2..0....0..0..2..1
..0..0..1..2....0..0..0..2....0..1..0..0....0..0..1..0....0..1..1..0
..0..4..0..1....0..4..0..1....1..0..4..0....0..4..0..0....0..2..0..0
..0..0..2..1....0..0..0..0....2..0..0..0....0..0..1..0....1..1..0..0
..1..0..1..0....0..1..2..0....1..0..1..0....1..0..2..1....2..0..0..1
..2..1..0..0....0..0..1..0....0..0..2..1....2..1..0..0....1..0..1..2
CROSSREFS
Column 1 is A000930
Column 2 is A196976
Sequence in context: A153289 A161643 A196982 * A197782 A197613 A085220
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Oct 10 2011
STATUS
approved