A222430 - OEIS

A222430

T(n,k)=Number of nXk 0..2 arrays with exactly floor(nXk/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..2 order

1, 0, 0, 0, 0, 0, 3, 4, 4, 3, 4, 13, 4, 13, 4, 8, 36, 75, 75, 36, 8, 10, 132, 298, 766, 298, 132, 10, 50, 584, 3256, 7929, 7929, 3256, 584, 50, 66, 2054, 12442, 88455, 77053, 88455, 12442, 2054, 66, 216, 7700, 142378, 1009168, 2601092, 2601092, 1009168, 142378

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

1,7

COMMENTS

Table starts

....1......0.........0...........3............4.............8............10

....0......0.........4..........13...........36...........132...........584

....0......4.........4..........75..........298..........3256.........12442

....3.....13........75.........766.........7929.........88455.......1009168

....4.....36.......298........7929........77053.......2601092......28654054

....8....132......3256.......88455......2601092......82680222....2808238414

...10....584.....12442.....1009168.....28654054....2808238414...91216434813

...50...2054....142378....11742060...1031825766...98100073298.9844752528713

...66...7700....538894...136046418..11887826140.3504105045604

..216..29208...6301728..1597242853.435680320590

..280.113024..23842008.18702751927

.1120.428784.282114008

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..111

EXAMPLE

Some solutions for n=4 k=4

..0..0..1..1....0..0..0..0....0..0..1..1....0..0..0..0....0..0..0..0

..0..0..2..2....1..0..0..0....0..0..0..1....0..0..0..0....0..0..0..0

..0..0..0..0....0..0..0..0....0..0..0..2....0..0..1..1....0..0..1..0

..0..0..0..0....0..0..1..0....0..0..0..2....0..2..1..1....0..1..2..2

CROSSREFS

Column 1 is A222395

Sequence in context: A295570 A035004 A222290 * A222275 A355017 A000916

Adjacent sequences: A222427 A222428 A222429 * A222431 A222432 A222433

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Feb 19 2013

STATUS

approved