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 A240706 T(n,k)=Number of nXk 0..3 arrays with no element equal to a different number of vertical neighbors than horizontal neighbors, with new values 0..3 introduced in row major order 7
 1, 1, 1, 2, 5, 2, 5, 27, 27, 5, 14, 193, 461, 193, 14, 41, 1391, 7980, 7980, 1391, 41, 122, 10072, 138562, 332412, 138562, 10072, 122, 365, 72941, 2406061, 13844254, 13844254, 2406061, 72941, 365, 1094, 528283, 41780245, 576606991, 1382959986 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS Table starts ...1......1.........2.............5...............14..................41 ...1......5........27...........193.............1391...............10072 ...2.....27.......461..........7980...........138562.............2406061 ...5....193......7980........332412.........13844254...........576606991 ..14...1391....138562......13844254.......1382959986........138151966465 ..41..10072...2406061.....576606991.....138151966465......33101173163229 .122..72941..41780245...24015292771...13800783910238....7931008306049886 .365.528283.725496762.1000221764213.1378639013959376.1900262865283299277 LINKS R. H. Hardin, Table of n, a(n) for n = 1..127 FORMULA Empirical for column k: k=1: a(n) = 4*a(n-1) -3*a(n-2) for n>3 k=2: a(n) = 6*a(n-1) +10*a(n-2) -6*a(n-3) -9*a(n-4) for n>6 k=3: a(n) = 15*a(n-1) +40*a(n-2) +22*a(n-3) -60*a(n-4) -40*a(n-5) -21*a(n-6) +45*a(n-7) k=4: [order 20] k=5: [order 54] EXAMPLE Some solutions for n=3 k=4 ..0..1..2..3....0..1..2..3....0..1..0..2....0..1..0..2....0..1..2..1 ..3..2..0..2....1..0..3..0....2..0..2..0....3..2..1..0....3..0..3..2 ..2..0..2..1....2..3..0..2....3..2..3..2....1..3..2..1....0..2..0..3 CROSSREFS Column 1 is A007051(n-2) Column 2 is A240637 Sequence in context: A321577 A268789 A269920 * A240642 A240774 A198604 Adjacent sequences:  A240703 A240704 A240705 * A240707 A240708 A240709 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Apr 10 2014 STATUS approved

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Last modified March 29 21:32 EDT 2020. Contains 333117 sequences. (Running on oeis4.)