A222828 T(n,k)=Number of nXk 0..3 arrays with no more than floor(nXk/2) elements equal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..3 order.

1, 1, 1, 2, 8, 2, 11, 80, 80, 11, 34, 1154, 2695, 1154, 34, 131, 14388, 163059, 163059, 14388, 131, 438, 200082, 4990235, 23664739, 4990235, 200082, 438, 2150, 2652496, 324288311, 3489313607, 3489313607, 324288311, 2652496, 2150, 7676, 36622104

Offset: 1

Author

R. H. Hardin Mar 06 2013

Keywords

• nonn
• tabl

Comments

Table starts

.....1.........1............2.............11..............34.............131

.....1.........8...........80...........1154...........14388..........200082

.....2........80.........2695.........163059.........4990235.......324288311

....11......1154.......163059.......23664739......3489313607....520160675223

....34.....14388......4990235.....3489313607...1138373246058.835207158093802

...131....200082....324288311...520160675223.835207158093802

...438...2652496..10170499564.78214529020708

..2150..36622104.674288738013

..7676.498427856

.32491

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..60

Crossrefs

Column 1 is A222650