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 A232065 T(n,k)=Number of nXk 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally or vertically, with no adjacent values equal 8
 1, 2, 2, 4, 6, 4, 6, 14, 14, 6, 10, 30, 46, 30, 10, 16, 66, 130, 130, 66, 16, 26, 146, 410, 534, 410, 146, 26, 42, 322, 1194, 2230, 2230, 1194, 322, 42, 68, 710, 3722, 9310, 13538, 9310, 3722, 710, 68, 110, 1566, 10942, 38870, 75462, 75462, 38870, 10942, 1566, 110 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ...1....2......4.......6.......10.........16..........26............42 ...2....6.....14......30.......66........146.........322...........710 ...4...14.....46.....130......410.......1194........3722.........10942 ...6...30....130.....534.....2230.......9310.......38870........162278 ..10...66....410....2230....13538......75462......457234.......2561258 ..16..146...1194....9310....75462.....612364.....4990482......40661766 ..26..322...3722...38870...457234....4990482....59448262.....653375842 ..42..710..10942..162278..2561258...40661766...653375842...10508498862 ..68.1566..33806..677510.15454594..331554282..7789998594..169516703810 .110.3454.100142.2828606.86936482.2703411654.85859588738.2735194512174 LINKS R. H. Hardin, Table of n, a(n) for n = 1..312 FORMULA Empirical for column k: k=1: a(n) = a(n-1) +a(n-2) for n>3 k=2: a(n) = 2*a(n-1) +a(n-3) k=3: a(n) = a(n-1) +7*a(n-2) -3*a(n-3) +3*a(n-4) -7*a(n-5) +2*a(n-6) -2*a(n-7) +2*a(n-8) k=4: a(n) = 4*a(n-1) +a(n-2) -4*a(n-4) -3*a(n-5) +a(n-7) +3*a(n-8) -a(n-11) k=5: [order 20] for n>22 k=6: [order 42] EXAMPLE Some solutions for n=5 k=4 ..2..1..0..1....2..1..2..1....2..0..1..0....2..1..2..1....1..2..1..2 ..1..0..1..2....1..2..1..2....0..1..2..1....1..0..1..2....0..1..0..1 ..0..1..0..1....2..1..2..1....1..0..1..2....0..1..2..1....1..0..1..2 ..1..2..1..2....1..0..1..0....2..1..2..1....1..0..1..2....2..1..2..1 ..2..1..2..1....2..1..2..1....1..0..1..0....2..1..2..1....1..0..1..0 CROSSREFS Column 1 is A006355(n+1) Sequence in context: A050469 A350229 A085730 * A219741 A210603 A252820 Adjacent sequences: A232062 A232063 A232064 * A232066 A232067 A232068 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 17 2013 STATUS approved

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Last modified August 15 04:38 EDT 2024. Contains 375172 sequences. (Running on oeis4.)