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A218372
T(n,k)=Hilltop maps: number of nXk binary arrays indicating the locations of corresponding elements not exceeded by any horizontal, vertical or antidiagonal neighbor in a random 0..3 nXk array
8
1, 3, 3, 7, 15, 7, 15, 63, 63, 15, 29, 253, 509, 253, 29, 57, 1009, 4081, 4081, 1009, 57, 113, 4033, 32641, 65409, 32641, 4033, 113, 225, 16129, 261121, 1046529, 1046529, 261121, 16129, 225, 449, 64511, 2088955, 16744435, 33488029, 16744435, 2088955
OFFSET
1,2
COMMENTS
Table starts
....1........3...........7..............15................29
....3.......15..........63.............253..............1009
....7.......63.........509............4081.............32641
...15......253........4081...........65409...........1046529
...29.....1009.......32641.........1046529..........33488029
...57.....4033......261121........16744435........1071613317
..113....16129.....2088955.......267910753.......34291593409
..225....64511....16711551......4286570153.....1097330469185
..449...258015...133691649.....68585092161....35114559214497
..895..1031935..1069527065...1097360991969..1123665390953149
.1783..4127233..8556167553..17557768153359.35957276389513409
.3551.16506913.68448948737.280924166963785
LINKS
EXAMPLE
Some solutions for n=3 k=4
..1..0..1..0....0..1..1..1....0..1..1..1....0..0..1..0....1..0..0..0
..0..1..1..1....1..1..1..1....0..1..0..0....1..0..1..1....1..0..0..1
..1..0..0..0....0..1..0..1....1..1..0..0....0..0..0..0....0..1..0..0
CROSSREFS
Column 1 is A218189
Sequence in context: A218233 A218319 A218196 * A218242 A218288 A356976
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Oct 27 2012
STATUS
approved