A208466 T(n,k) is the number of n X k nonnegative integer arrays with new values 0 upwards 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, 198, 203, 15, 52, 4041, 20746, 4140, 52, 203, 113458, 4132120, 4150760, 115975, 203, 877, 4132120, 1358524513, 10318694804, 1366230232, 4213597, 877, 4140, 187612143, 671329819215, 50996571454200, 51074630353994

Offset: 1

Author

R. H. Hardin, Feb 27 2012

Keywords

• nonn
• tabl

Examples

			Table starts:
....1...........2..................5.....................15
....2..........15................198...................4041
....5.........203..............20746................4132120
...15........4140............4150760............10318694804
...52......115975.........1366230232.........51074630353994
..203.....4213597.......675203938944.....441285917587055633
..877...190899322....470798015742024.6105599904286957450405
.4140.10480142147.442649055938121520
Some solutions for n=4 and k=3:
..0..1..2....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0
..0..0..1....0..1..0....0..1..0....0..1..0....0..1..2....0..1..0....0..1..0
..0..0..0....0..0..2....2..0..0....2..0..1....1..1..0....0..2..0....0..0..0
..0..1..0....0..0..0....0..2..0....0..0..0....0..0..0....0..0..0....0..2..1
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..58

Crossrefs

Column 1 and row 1 are A000110.

Column 2 is A020557.