A209100 T(n,k)=Number of nXk 0..2 arrays with new values 0..2 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, 11, 5, 14, 76, 82, 14, 41, 520, 1326, 612, 41, 122, 3552, 20928, 23248, 4568, 122, 365, 24256, 329064, 849548, 407832, 34096, 365, 1094, 165632, 5171088, 30836932, 34538488, 7154944, 254496, 1094, 3281, 1131008, 81254376, 1118366188

Offset: 1

Author

R. H. Hardin Mar 05 2012

Keywords

• nonn
• tabl

Comments

Table starts

....1.......2..........5............14...............41.................122

....2......11.........76...........520.............3552...............24256

....5......82.......1326.........20928...........329064.............5171088

...14.....612......23248........849548.........30836932..........1118366188

...41....4568.....407832......34538488.......2896732704........242632290432

..122...34096....7154944....1404480904.....272236743760......52675800891748

..365..254496..125526240...57113932788...25586970618660...11437585318270860

.1094.1899584.2202232576.2322577420320.2404896311723064.2483525516352937680

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..254

Crossrefs

Column 1 and row 1 are A007051(n-1)