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A229510 T(n,k)=Number of defective 3-colorings of an nXk 0..2 array connected diagonally and antidiagonally with exactly one mistake, and colors introduced in row-major 0..2 order 8
0, 0, 0, 0, 6, 0, 0, 48, 48, 0, 0, 288, 480, 288, 0, 0, 1536, 4032, 4032, 1536, 0, 0, 7680, 31104, 50112, 31104, 7680, 0, 0, 36864, 228096, 575424, 575424, 228096, 36864, 0, 0, 172032, 1617408, 6298560, 9854784, 6298560, 1617408, 172032, 0, 0, 786432 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

.0......0........0.........0...........0.............0...............0

.0......6.......48.......288........1536..........7680...........36864

.0.....48......480......4032.......31104........228096.........1617408

.0....288.....4032.....50112......575424.......6298560........66764736

.0...1536....31104....575424.....9854784.....162171072......2591476416

.0...7680...228096...6298560...162171072....4032737280.....97662620160

.0..36864..1617408..66764736..2591476416...97662620160...3594819388032

.0.172032.11197440.691581888.40561000128.2320483572864.130060929470976

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..264

FORMULA

Empirical for column k:

k=1: a(n) = a(n-1)

k=2: a(n) = 8*a(n-1) -16*a(n-2)

k=3: a(n) = 12*a(n-1) -36*a(n-2) for n>3

k=4: a(n) = 18*a(n-1) -81*a(n-2) for n>4

k=5: [order 8] for n>9

k=6: [order 12] for n>13

k=7: [order 30] for n>31

EXAMPLE

Some solutions for n=3 k=4

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

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

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

CROSSREFS

Sequence in context: A019157 A019184 A019185 * A230787 A101109 A293526

Adjacent sequences:  A229507 A229508 A229509 * A229511 A229512 A229513

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Sep 25 2013

STATUS

approved

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Last modified September 28 17:43 EDT 2020. Contains 337393 sequences. (Running on oeis4.)