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 A241349 T(n,k)=Number of nXk 0..3 arrays with no element equal to the same number of vertical neighbors as horizontal neighbors, with new values 0..3 introduced in row major order 5
 0, 1, 1, 1, 2, 1, 2, 5, 5, 2, 3, 22, 36, 22, 3, 6, 103, 415, 415, 103, 6, 11, 519, 4671, 10998, 4671, 519, 11, 23, 2656, 56166, 295782, 295782, 56166, 2656, 23, 47, 13798, 670557, 8216943, 18750240, 8216943, 670557, 13798, 47, 102, 72005, 8072717, 229552661 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Table starts ...0......1..........1............2.............3..............6.............11 ...1......2..........5...........22...........103............519...........2656 ...1......5.........36..........415..........4671..........56166.........670557 ...2.....22........415........10998........295782........8216943......229552661 ...3....103.......4671.......295782......18750240.....1223251170....80178068077 ...6....519......56166......8216943....1223251170...187086636654.28781500332998 ..11...2656.....670557....229552661...80178068077.28781500332998 ..23..13798....8072717...6440926150.5272889838441 ..47..72005...97173041.180941958872 .102.377132.1170969462 LINKS R. H. Hardin, Table of n, a(n) for n = 1..84 FORMULA Empirical for column k: k=1: a(n) = 3*a(n-1) +a(n-2) -7*a(n-3) +a(n-4) +3*a(n-5) for n>6 k=2: [order 10] for n>11 k=3: [order 46] for n>47 EXAMPLE Some solutions for n=4 k=4 ..0..1..1..1....0..0..1..1....0..0..1..1....0..1..1..1....0..1..2..3 ..0..0..0..2....2..1..3..3....2..1..2..2....0..2..0..0....0..1..2..3 ..0..2..2..2....2..1..2..2....2..1..0..0....0..2..1..2....2..2..0..3 ..3..3..3..2....3..3..1..1....3..3..3..3....3..3..1..2....3..3..0..3 CROSSREFS Column 1 is A199142 Sequence in context: A241555 A277741 A241138 * A330405 A111934 A098509 Adjacent sequences: A241346 A241347 A241348 * A241350 A241351 A241352 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Apr 19 2014 STATUS approved

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Last modified December 6 18:41 EST 2023. Contains 367614 sequences. (Running on oeis4.)