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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 * A358891 A358515 A230787 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 7 09:14 EDT 2024. Contains 375730 sequences. (Running on oeis4.)