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A195969
T(n,k)=Number of nXk 0..4 arrays with each element equal to the number of its horizontal and vertical neighbors equal to itself
7
1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 5, 1, 1, 2, 1, 7, 7, 1, 2, 1, 2, 14, 21, 14, 2, 1, 1, 1, 25, 48, 48, 25, 1, 1, 2, 1, 35, 118, 193, 118, 35, 1, 2, 1, 2, 56, 222, 417, 417, 222, 56, 2, 1, 1, 1, 107, 527, 804, 746, 804, 527, 107, 1, 1, 2, 1, 173, 1370, 2745, 2906, 2906, 2745, 1370, 173, 1
OFFSET
1,4
COMMENTS
Table starts
.1.1...2....1.....1.....2......1.......1........2.........1..........1
.1.1...2....1.....1.....2......1.......1........2.........1..........1
.2.2...5....7....14....25.....35......56......107.......173........284
.1.1...7...21....48...118....222.....527.....1370......3336.......7717
.1.1..14...48...193...417....804....2745.....9547.....24176......61074
.2.2..25..118...417...746...2906...10899....31616.....88860.....304443
.1.1..35..222...804..2906..13302...45127...175176....652860....2507734
.1.1..56..527..2745.10899..45127..230806..1286915...5852816...25974478
.2.2.107.1370..9547.31616.175176.1286915..8567404..45096728..245873636
.1.1.173.3336.24176.88860.652860.5852816.45096728.292294619.1975861410
LINKS
EXAMPLE
Some solutions for n=6 k=4
..1..2..2..2....2..2..2..2....2..2..2..0....0..2..2..2....1..0..1..1
..1..2..1..2....2..1..1..2....2..0..2..1....1..2..0..2....1..2..2..2
..0..2..1..2....2..0..2..2....2..1..2..1....1..2..1..2....2..2..0..2
..1..2..0..2....2..1..2..1....2..1..2..0....2..2..1..2....2..1..1..2
..1..2..2..2....2..1..2..1....2..0..2..1....2..0..2..2....2..2..2..2
..0..1..1..0....2..2..2..0....2..2..2..1....2..2..2..0....0..1..1..0
CROSSREFS
Sequence in context: A094781 A023582 A306717 * A023518 A326194 A331251
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Sep 25 2011
STATUS
approved