A222649 T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..2 order.

1, 1, 1, 1, 1, 1, 4, 3, 3, 4, 5, 12, 5, 12, 5, 14, 38, 61, 61, 38, 14, 17, 124, 157, 457, 157, 124, 17, 70, 430, 1972, 3411, 3411, 1972, 430, 70, 89, 1530, 5625, 31487, 25724, 31487, 5625, 1530, 89, 326, 5378, 66494, 317655, 640355, 640355, 317655, 66494, 5378, 326

Offset: 1

Author

R. H. Hardin Feb 27 2013

Keywords

• nonn
• tabl

Comments

Table starts

....1......1........1...........4..............5..............14

....1......1........3..........12.............38.............124

....1......3........5..........61............157............1972

....4.....12.......61.........457...........3411...........31487

....5.....38......157........3411..........25724..........640355

...14....124.....1972.......31487.........640355........14332759

...17....430.....5625......317655........5969486.......368332772

...70...1530....66494.....3161392......171452513.....10043940772

...89...5378...199913....31436637.....1679184332....284244110551

..326..18938..2287282...315944445....49651101137...8226667384808

..413..67042..7139249..3182997999...492598252164.241133356688912

.1630.238446.79717242.32059374557.14686568899907

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..144

Crossrefs

Column 1 is A222364