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 A229672 T(n,k) = number of defective 4-colorings of an n X k 0..3 array connected horizontally, antidiagonally and vertically with exactly two mistakes, and colors introduced in row-major 0..3 order. 9
 0, 0, 0, 1, 4, 1, 3, 61, 61, 3, 12, 652, 1555, 652, 12, 50, 5048, 19805, 19805, 5048, 50, 210, 33152, 194575, 328160, 194575, 33152, 210, 861, 197248, 1673561, 4331928, 4331928, 1673561, 197248, 861, 3416, 1098752, 13271403, 50919512, 78681904 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 LINKS R. H. Hardin, Table of n, a(n) for n = 1..180 FORMULA Empirical for column k: k=1: a(n) = 12*a(n-1) - 57*a(n-2) + 136*a(n-3) - 171*a(n-4) + 108*a(n-5) - 27*a(n-6) for n > 9. k=2: a(n) = 12*a(n-1) - 48*a(n-2) + 64*a(n-3) for n > 6. k=3: [order 6] for n > 7. k=4: [order 12] for n > 14. k=5: [order 27] for n > 29. k=6: [order 63] for n > 65. EXAMPLE Some solutions for n=3, k=4: 0 1 0 1 0 1 2 3 0 1 2 0 0 1 0 2 0 1 2 0 2 1 2 2 2 0 1 2 2 3 1 3 2 3 3 0 3 0 2 3 3 0 1 3 3 3 1 3 0 1 3 0 1 2 0 2 1 0 1 0 Table starts ...0.......0........1..........3...........12.............50.............210 ...0.......4.......61........652.........5048..........33152..........197248 ...1......61.....1555......19805.......194575........1673561........13271403 ...3.....652....19805.....328160......4331928.......50919512.......557478448 ..12....5048...194575....4331928.....78681904.....1289285440.....19833096240 ..50...33152..1673561...50919512...1289285440....29775277216....649844491552 .210..197248.13271403..557478448..19833096240...649844491552..20240623720512 .861.1098752.99602405.5814322288.292113020848.13636997291008.608439629860544 CROSSREFS Sequence in context: A301510 A085471 A064221 * A298568 A152890 A143354 Adjacent sequences: A229669 A229670 A229671 * A229673 A229674 A229675 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Sep 27 2013 STATUS approved

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Last modified September 25 12:28 EDT 2023. Contains 365644 sequences. (Running on oeis4.)