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A198669 T(n,k)=Number of nXk 0..4 arrays with values 0..4 introduced in row major order and each element equal to one or two horizontal and vertical neighbors 8
0, 1, 1, 1, 3, 1, 2, 13, 13, 2, 3, 65, 132, 65, 3, 6, 401, 2715, 2715, 401, 6, 11, 2798, 59281, 199923, 59281, 2798, 11, 23, 21243, 1544783, 16089057, 16089057, 1544783, 21243, 23, 47, 170477, 40546053, 1382332582, 4202762288, 1382332582, 40546053, 170477 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

...0.......1..........1............2.............3.............6

...1.......3.........13...........65...........401..........2798

...1......13........132.........2715.........59281.......1544783

...2......65.......2715.......199923......16089057....1382332582

...3.....401......59281.....16089057....4202762288.1169280626549

...6....2798....1544783...1382332582.1169280626549

..11...21243...40546053.119026441960

..23..170477.1100262051

..47.1414186

.103

LINKS

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

EXAMPLE

Some solutions with all values 0 to 4 for n=4 k=3

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

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

..3..3..0....2..3..3....3..4..4....2..2..3....2..2..3....3..1..1....0..2..3

..4..4..0....4..4..4....3..2..2....4..4..3....4..4..3....3..4..4....4..4..3

CROSSREFS

Sequence in context: A144107 A199647 A199149 * A171059 A198708 A198627

Adjacent sequences:  A198666 A198667 A198668 * A198670 A198671 A198672

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Oct 28 2011

STATUS

approved

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Last modified December 4 19:40 EST 2021. Contains 349526 sequences. (Running on oeis4.)