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A229510 T(n,k) = number of defective 3-colorings of an n X k 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 A353224

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 August 19 20:38 EDT 2022. Contains 356231 sequences. (Running on oeis4.)