A222986 T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order.

1, 1, 2, 1, 4, 5, 4, 7, 14, 14, 5, 25, 43, 70, 41, 14, 86, 314, 584, 326, 122, 17, 332, 946, 4572, 2903, 1630, 365, 70, 1172, 10417, 42607, 68385, 45718, 8058, 1094, 89, 4566, 36987, 414907, 601407, 1037326, 227569, 40598, 3281, 326, 16562, 431995, 4405097

Offset: 1

Author

R. H. Hardin Mar 11 2013

Keywords

• nonn
• tabl

Comments

Table starts

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

.....2........4...........7.............25................86

.....5.......14..........43............314...............946

....14.......70.........584...........4572.............42607

....41......326........2903..........68385............601407

...122.....1630.......45718........1037326..........29158784

...365.....8058......227569.......15904038.........433151066

..1094....40598.....3706702......245900395.......21273422658

..3281...204914....18721501.....3827698634......321537852228

..9842..1041934...309335666....59908716776....15962124223493

.29525..5315674..1578160193...941887270541...243618393075038

.88574.27228710.26302908158.14864346253334.12191944518185381

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..159

Crossrefs

Column 1 is A007051(n-1)

Row 1 is A222364