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 A229534 T(n,k)=Number of defective 3-colorings of an nXk 0..2 array connected horizontally, diagonally and antidiagonally with exactly one mistake, and colors introduced in row-major 0..2 order 13
 0, 1, 0, 2, 4, 0, 6, 8, 20, 0, 16, 36, 58, 84, 0, 40, 112, 361, 356, 324, 0, 96, 368, 1588, 3064, 2038, 1188, 0, 224, 1152, 7460, 19276, 24344, 11184, 4212, 0, 512, 3568, 33136, 130854, 221096, 185808, 59626, 14580, 0, 1152, 10880, 146300, 833108, 2171944 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS Table starts .0.....1......2........6........16.........40...........96...........224 .0.....4......8.......36.......112........368.........1152..........3568 .0....20.....58......361......1588.......7460........33136........146300 .0....84....356.....3064.....19276.....130854.......833108.......5305746 .0...324...2038....24344....221096....2171944.....19965136.....184319130 .0..1188..11184...185808...2451728...34811238....463976296....6218438820 .0..4212..59626..1379512..26566266..544403948..10551803060..205336122417 .0.14580.311260.10036352.283010776.8359264560.236116939092.6668992563052 LINKS R. H. Hardin, Table of n, a(n) for n = 1..337 FORMULA Empirical for column k: k=1: a(n) = a(n-1) 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) for n>5 k=4: a(n) = 14*a(n-1) -57*a(n-2) +56*a(n-3) -16*a(n-4) for n>5 k=5: [order 12] for n>13 k=6: [order 18] for n>19 k=7: [order 38] for n>39 Empirical for row n: n=1: a(n) = 4*a(n-1) -4*a(n-2) for n>4 n=2: a(n) = 4*a(n-1) -8*a(n-3) -4*a(n-4) n=3: a(n) = 6*a(n-1) -a(n-2) -28*a(n-3) -4*a(n-4) +16*a(n-5) -4*a(n-6) for n>8 n=4: [order 12] for n>14 n=5: [order 20] for n>22 n=6: [order 46] for n>48 n=7: [order 92] for n>94 EXAMPLE Some solutions for n=3 k=4 ..0..1..0..1....0..1..0..2....0..1..0..0....0..1..0..0....0..1..2..0 ..0..2..0..2....1..2..0..2....0..1..2..1....2..1..2..1....0..1..2..0 ..2..1..0..1....1..2..0..2....2..1..2..1....0..1..2..1....2..1..0..1 CROSSREFS Column 2 is A167682(n-1) Row 1 is A057711(n-1) Sequence in context: A068451 A131715 A200165 * A021810 A073800 A076813 Adjacent sequences:  A229531 A229532 A229533 * A229535 A229536 A229537 KEYWORD nonn,tabl AUTHOR R. H. Hardin Sep 25 2013 STATUS approved

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Last modified June 19 16:48 EDT 2019. Contains 324222 sequences. (Running on oeis4.)