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.

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

Author

R. H. Hardin, Feb 26 2012

Keywords

• nonn
• tabl

Examples

			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
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..198

Crossrefs

Row 1 and column 1 are A007581(n-1).

Columns 2..7 are A208402, A208403, A208404, A208405, A208406, A208407.

Rows 2..7 are A208409, A208410, A208411, A208412, A208413, A208414.

Main diagonal is A208401.