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A223052 T(n,k)=Number of nXk 0..3 arrays with exactly floor(nXk/2) elements equal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..3 order 6
1, 0, 0, 0, 4, 0, 6, 44, 32, 0, 20, 508, 1682, 613, 0, 20, 6918, 95648, 101573, 7152, 0, 70, 93770, 3760845, 17704612, 4505726, 117140, 0, 685, 1302140, 225200914, 3067927359, 3345698159, 286019636, 1613820, 0, 2808, 18203855, 8981996365 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

.1........0...........0............6............20...........20.............70

.0........4..........44..........508..........6918........93770........1302140

.0.......32........1682........95648.......3760845....225200914.....8981996365

.0......613......101573.....17704612....3067927359.535214170579.94165746376280

.0.....7152.....4505726...3345698159.1653232100317

.0...117140...286019636.642902149269

.0..1613820.13029003006

.0.24884991

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..49

EXAMPLE

Some solutions for n=3 k=4

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

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

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

CROSSREFS

Column 2 is A222829

Row 1 is A222604

Sequence in context: A223114 A222832 A279871 * A027857 A052400 A199071

Adjacent sequences:  A223049 A223050 A223051 * A223053 A223054 A223055

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Mar 13 2013

STATUS

approved

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Last modified October 24 12:42 EDT 2021. Contains 348231 sequences. (Running on oeis4.)