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 A233155 T(n,k) = Number of n X k 0..2 arrays with no element x(i,j) adjacent to value 2-x(i,j) horizontally or antidiagonally. 10
 3, 6, 9, 12, 24, 27, 24, 72, 96, 81, 48, 216, 432, 384, 243, 96, 648, 1944, 2592, 1536, 729, 192, 1944, 8856, 17496, 15552, 6144, 2187, 384, 5832, 40392, 121176, 157464, 93312, 24576, 6561, 768, 17496, 184248, 842616, 1658232, 1417176, 559872, 98304, 19683 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts .....3.......6........12.........24...........48.............96 .....9......24........72........216..........648...........1944 ....27......96.......432.......1944.........8856..........40392 ....81.....384......2592......17496.......121176.........842616 ...243....1536.....15552.....157464......1658232.......17587584 ...729....6144.....93312....1417176.....22692312......367125912 ..2187...24576....559872...12754584....310536504.....7663517136 ..6561...98304...3359232..114791256...4249585944...159971190624 .19683..393216..20155392.1033121304..58154132088..3339300422232 .59049.1572864.120932352.9298091736.795819434328.69705848287656 LINKS R. H. Hardin, Table of n, a(n) for n = 1..390 FORMULA Empirical for column k: k=1: a(n) = 3*a(n-1). k=2: a(n) = 4*a(n-1). k=3: a(n) = 6*a(n-1). k=4: a(n) = 9*a(n-1). k=5: a(n) = 15*a(n-1) -18*a(n-2). k=6: a(n) = 25*a(n-1) -90*a(n-2) +81*a(n-3). k=7: a(n) = 42*a(n-1) -351*a(n-2) +972*a(n-3) -810*a(n-4). Empirical for row n: n=1: a(n) = 2*a(n-1). n=2: a(n) = 3*a(n-1) for n>2. n=3: a(n) = 5*a(n-1) -2*a(n-2) for n>4. n=4: a(n) = 9*a(n-1) -15*a(n-2) +6*a(n-3) for n>7. n=5: [order 7] for n>11. n=6: [order 9] for n>15. n=7: [order 27] for n>33. EXAMPLE Some solutions for n=4, k=4 ..1..2..2..1....1..2..2..1....0..0..0..0....1..2..1..0....2..1..0..1 ..2..1..2..2....2..1..0..1....1..0..1..2....1..0..0..0....0..1..0..1 ..2..1..2..1....2..1..0..1....1..0..1..0....0..0..1..0....2..1..2..1 ..0..1..2..2....0..1..0..0....1..0..0..1....0..0..0..0....2..1..0..0 CROSSREFS Column 1 is A000244. Column 2 is A002023(n-1). Column 3 is 2*A000400. Column 4 is 3*A055275. Row 1 is A003945. Row 2 is A005051(n-1) for n>1. Sequence in context: A194420 A367952 A277823 * A118519 A282762 A089757 Adjacent sequences: A233152 A233153 A233154 * A233156 A233157 A233158 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 05 2013 STATUS approved

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Last modified June 25 15:24 EDT 2024. Contains 373705 sequences. (Running on oeis4.)