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A229685 T(n,k) = number of defective 3-colorings of an n X k 0..2 array connected diagonally and antidiagonally with exactly two mistakes, and colors introduced in row-major 0..2 order. 8
0, 0, 0, 0, 2, 0, 0, 36, 36, 0, 0, 360, 888, 360, 0, 0, 2688, 10896, 10896, 2688, 0, 0, 17280, 108000, 186576, 108000, 17280, 0, 0, 101376, 959040, 2700432, 2700432, 959040, 101376, 0, 0, 559104, 7952256, 35485776, 58038768, 35485776, 7952256, 559104, 0, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,5
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1).
k=2: a(n) = 12*a(n-1) - 48*a(n-2) + 64*a(n-3) for n > 5.
k=3: a(n) = 18*a(n-1) - 108*a(n-2) + 216*a(n-3) for n > 4.
k=4: a(n) = 27*a(n-1) - 243*a(n-2) + 729*a(n-3) for n > 6.
k=5: [order 12] for n > 13.
k=6: [order 18] for n > 20.
k=7: [order 46] for n > 47.
EXAMPLE
Some solutions for n=3, k=4:
0 1 2 2 0 1 2 0 0 1 1 1 0 1 1 0 0 1 1 0
2 1 1 0 1 1 2 2 2 2 2 1 2 2 2 1 0 2 0 2
0 0 1 0 2 0 0 0 1 1 1 0 0 0 0 2 2 1 0 1
Table starts
.0......0........0..........0............0..............0................0
.0......2.......36........360.........2688..........17280...........101376
.0.....36......888......10896.......108000.........959040..........7952256
.0....360....10896.....186576......2700432.......35485776........437924880
.0...2688...108000....2700432.....58038768.....1138164048......21063718224
.0..17280...959040...35485776...1138164048....33555543408.....937213830720
.0.101376..7952256..437924880..21063718224...937213830720...39647663129952
.0.559104.62892288.5169543120.373936700880.25175909234736.1617006498774912
CROSSREFS
Sequence in context: A020916 A179072 A073111 * A230469 A004076 A365974
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Sep 27 2013
STATUS
approved

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Last modified May 21 09:41 EDT 2024. Contains 372733 sequences. (Running on oeis4.)