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A222722 T(n,k)=Number of nXk 0..3 arrays with exactly floor(nXk/2) elements equal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..3 order 5
1, 0, 0, 0, 6, 0, 6, 30, 30, 6, 20, 666, 1683, 666, 20, 20, 6524, 88552, 88552, 6524, 20, 70, 103378, 2807505, 12956013, 2807505, 103378, 70, 685, 1250904, 173596622, 1928517786, 1928517786, 173596622, 1250904, 685, 2808, 17976376, 5700425842 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

....1.........0............0..............6..............20..............20

....0.........6...........30............666............6524..........103378

....0........30.........1683..........88552.........2807505.......173596622

....6.......666........88552.......12956013......1928517786....289452236157

...20......6524......2807505.....1928517786....662075303107.474459483232672

...20....103378....173596622...289452236157.474459483232672

...70...1250904...5700425842.43727219083464

..685..17976376.361481561727

.2808.235892592

.5370

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..60

EXAMPLE

Some solutions for n=3 k=4

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

..3..1..3..1....2..0..2..3....2..0..3..3....3..1..1..2....2..3..1..1

..2..0..1..0....1..2..2..1....0..1..1..0....1..0..3..3....3..0..2..3

CROSSREFS

Column 1 is A222604

Sequence in context: A222918 A280480 A223104 * A222747 A222608 A021900

Adjacent sequences:  A222719 A222720 A222721 * A222723 A222724 A222725

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Mar 03 2013

STATUS

approved

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Last modified October 28 06:41 EDT 2021. Contains 348316 sequences. (Running on oeis4.)