A208872 T(n,k)=Number of nXk 0..3 arrays with new values 0..3 introduced in row major order and no element equal to more than one of its immediate leftward or upward or right-upward antidiagonal neighbors.

1, 2, 2, 5, 12, 5, 15, 136, 143, 15, 51, 1798, 6520, 1979, 51, 187, 24472, 307165, 324682, 28246, 187, 715, 334618, 14493405, 52947540, 16205218, 405481, 715, 2795, 4578580, 683903931, 8624977114, 9130195864, 808928836, 5826959, 2795, 11051, 62655190

Offset: 1

Author

R. H. Hardin Mar 02 2012

Keywords

• nonn
• tabl

Comments

Table starts

....1........2.............5................15.....................51

....2.......12...........136..............1798..................24472

....5......143..........6520............307165...............14493405

...15.....1979........324682..........52947540.............8624977114

...51....28246......16205218........9130195864..........5134914951163

..187...405481.....808928836.....1574432811027.......3057224057476808

..715..5826959...40380275500...271499374919883....1820216057105650386

.2795.83752328.2015711853262.46818078167209471.1083724145919960847502

Examples

			Some solutions for n=4 k=3
..0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..1..0
..1..1..2....1..1..0....1..1..0....1..1..1....1..2..3....1..1..1....0..2..2
..2..1..1....2..1..1....2..2..1....2..2..0....3..0..1....2..0..2....1..3..1
..0..2..1....2..2..1....0..1..3....1..0..1....2..3..2....2..1..0....1..3..2
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..160

Crossrefs

Column 1 and row 1 are A007581(n-1)