A222488 - OEIS

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A222488

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

1, 0, 0, 0, 0, 0, 3, 4, 4, 0, 4, 5, 6, 13, 0, 8, 14, 33, 85, 36, 0, 10, 100, 75, 270, 365, 132, 0, 50, 152, 968, 2373, 3219, 3696, 584, 0, 66, 998, 2408, 17095, 20638, 34851, 14928, 2054, 0, 216, 2168, 31222, 145019, 356202, 590724, 374375, 159062, 7700, 0, 280

(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..........5..........14..........100..........152

.0......4.........6.........33..........75..........968.........2408

.0.....13........85........270........2373........17095.......145019

.0.....36.......365.......3219.......20638.......356202......2728712

.0....132......3696......34851......590724......9380846....184619038

.0....584.....14928.....374375.....6010402....272350434...4805784476

.0...2054....159062....3973169...194136760...8210507309.413049658833

.0...7700....645704...42982280..2013514580.255223125120

.0..29208...7158232..460903822.65746124890

.0.113024..28604092.4976455334

.0.428784.328610072

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..110

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Column 2 is A222425

Row 1 is A222395

Sequence in context: A245843 A188729 A222509 * A222500 A177935 A021748

Adjacent sequences: A222485 A222486 A222487 * A222489 A222490 A222491

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Feb 22 2013

STATUS

approved