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

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

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 A366408 A052400

Adjacent sequences: A223049 A223050 A223051 * A223053 A223054 A223055

Keyword

nonn,tabl

Author

R. H. Hardin Mar 13 2013

Status

approved