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A208408
T(n,k) is the number of n X k 0..3 arrays with new values 0..3 introduced in row major order and no element equal to more than two of its immediate leftward or upward or right-upward antidiagonal neighbors.
14
1, 2, 2, 5, 15, 5, 15, 182, 187, 15, 51, 2698, 10682, 2795, 51, 187, 41914, 658450, 667478, 43947, 187, 715, 658450, 40883360, 163422914, 42012698, 700075, 715, 2795, 10370330, 2540446156, 40039156736, 40595679634, 2646531062, 11188907, 2795
OFFSET
1,2
LINKS
EXAMPLE
Table starts:
....1.........2..............5.................15......................51
....2........15............182...............2698...................41914
....5.......187..........10682.............658450................40883360
...15......2795.........667478..........163422914.............40039156736
...51.....43947.......42012698........40595679634..........39216100214432
..187....700075.....2646531062.....10084768380770.......38410047476679936
..715..11188907...166729574522...2505261257850802....37620564383817645696
.2795.178973355.10503950018198.622357842865595522.36847308431734650845696
...
Some solutions for n=4 and k=3:
..0..0..0....0..0..1....0..1..0....0..0..0....0..1..0....0..0..0....0..1..1
..0..1..0....0..0..0....0..2..2....0..1..1....0..2..3....0..1..2....0..0..0
..1..2..1....0..1..1....1..2..1....2..0..2....3..0..0....2..1..1....0..1..1
..0..1..3....1..2..3....1..3..2....2..1..0....2..1..3....0..1..1....0..2..1
CROSSREFS
Row 1 and column 1 are A007581(n-1).
Columns 2..7 are A208402, A208403, A208404, A208405, A208406, A208407.
Main diagonal is A208401.
Sequence in context: A208001 A200801 A241119 * A198528 A208466 A098888
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Feb 26 2012
STATUS
approved