A223126 T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements equal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order.

1, 1, 2, 2, 10, 5, 10, 64, 72, 14, 24, 489, 1154, 664, 41, 72, 3599, 28907, 33604, 5376, 122, 168, 27803, 444555, 1780641, 622568, 47968, 365, 664, 212771, 11814919, 95995609, 112106293, 18539512, 406400, 1094, 1632, 1656545, 186184618

Offset: 1

Author

R. H. Hardin Mar 15 2013

Keywords

• nonn
• tabl

Comments

Table starts

.....1...........1................2....................10

.....2..........10...............64...................489

.....5..........72.............1154.................28907

....14.........664............33604...............1780641

....41........5376...........622568.............112106293

...122.......47968.........18539512............7157970340

...365......406400........354680696..........461597847603

..1094.....3585408......10596201904........29989116614529

..3281....30987264.....206498940320......1959625907209239

..9842...272565760....6177157242496....128645318481467647

.29525..2378450944..121870726469408...8477443608456769792

.88574.20921604096.3647201710914880.560422268684443059564

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..125

Crossrefs

Column 1 is A007051(n-1)

Row 1 is A222848