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A198708
T(n,k) = Number of n X k 0..4 arrays with values 0..4 introduced in row major order and each element equal to at least one horizontal or vertical neighbor.
8
0, 1, 1, 1, 3, 1, 2, 14, 14, 2, 3, 76, 185, 76, 3, 6, 488, 3893, 3893, 488, 6, 11, 3508, 95209, 322230, 95209, 3508, 11, 23, 27422, 2654693, 30407251, 30407251, 2654693, 27422, 23, 47, 227045, 77622801, 3075124662, 10239497407, 3075124662, 77622801, 227045
OFFSET
1,5
COMMENTS
Table starts:
...0........1...........1..............2................3................6
...1........3..........14.............76..............488.............3508
...1.......14.........185...........3893............95209..........2654693
...2.......76........3893.........322230.........30407251.......3075124662
...3......488.......95209.......30407251......10239497407....3588013895024
...6.....3508.....2654693.....3075124662....3588013895024.4285681886701131
..11....27422....77622801...316137386807.1259339424693241
..23...227045..2332544112.32741782389619
..47..1950662.70818414642
.103.17146596
LINKS
EXAMPLE
Some solutions with all values 0 to 4 for n=4 and k=4:
..0..1..2..3....0..0..1..1....0..0..1..1....0..0..0..0....0..0..1..2
..0..1..2..3....0..1..1..1....2..3..3..1....1..1..1..2....3..3..1..2
..4..4..0..0....2..3..3..1....2..2..0..0....1..3..3..2....4..4..0..0
..3..3..2..2....2..2..4..4....3..3..4..4....3..3..4..4....3..3..0..0
CROSSREFS
Column 1 is A198662.
Sequence in context: A199149 A198669 A171059 * A198627 A198654 A198661
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Oct 29 2011
STATUS
approved