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 A229460 T(n,k)=Number of defective 3-colorings of an nXk 0..2 array connected horizontally and vertically with exactly one mistake and colors introduced in row-major 0..2 order 8
 0, 1, 1, 2, 4, 2, 6, 20, 20, 6, 16, 84, 140, 84, 16, 40, 324, 863, 863, 324, 40, 96, 1188, 4962, 7940, 4962, 1188, 96, 224, 4212, 27313, 68790, 68790, 27313, 4212, 224, 512, 14580, 145932, 573342, 903332, 573342, 145932, 14580, 512, 1152, 49572, 763031 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS Table starts ...0.....1......2........6.........16..........40............96.............224 ...1.....4.....20.......84........324........1188..........4212...........14580 ...2....20....140......863.......4962.......27313........145932..........763031 ...6....84....863.....7940......68790......573342.......4651079........36985536 ..16...324...4962....68790.....903332....11451686.....141595454......1718447506 ..40..1188..27313...573342...11451686...221410052....4182294415.....77626332302 ..96..4212.145932..4651079..141595454..4182294415..120864516084...3435347473308 .224.14580.763031.36985536.1718447506.77626332302.3435347473308.149656305350148 LINKS R. H. Hardin, Table of n, a(n) for n = 1..420 FORMULA Empirical for column k: k=1: a(n) = 4*a(n-1) -4*a(n-2) for n>4 k=2: a(n) = 6*a(n-1) -9*a(n-2) for n>3 k=3: a(n) = 10*a(n-1) -29*a(n-2) +20*a(n-3) -4*a(n-4) k=4: [order 6] for n>7 k=5: [order 10] k=6: [order 14] for n>15 k=7: [order 26] k=8: [order 38] for n>39 EXAMPLE Some solutions for n=3 k=4 ..0..1..0..2....0..1..0..2....0..1..0..2....0..1..0..2....0..1..0..2 ..2..1..2..1....2..1..2..0....2..2..1..0....1..0..2..1....1..0..2..0 ..0..2..1..2....1..2..1..2....0..1..2..1....2..0..1..0....1..2..0..2 CROSSREFS Column 1 is A057711(n-1) Column 2 is A167682(n-1) Sequence in context: A174298 A196347 A021012 * A154120 A261964 A177847 Adjacent sequences:  A229457 A229458 A229459 * A229461 A229462 A229463 KEYWORD nonn,tabl AUTHOR R. H. Hardin Sep 24 2013 STATUS approved

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Last modified December 12 15:11 EST 2019. Contains 329960 sequences. (Running on oeis4.)