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 A240893 T(n,k)=Number of nXk 0..2 arrays with no element equal to a different number of vertical neighbors than horizontal neighbors, with new values 0..2 introduced in row major order 7
 1, 1, 1, 2, 4, 2, 4, 11, 11, 4, 8, 36, 57, 36, 8, 16, 116, 289, 289, 116, 16, 32, 376, 1485, 2362, 1485, 376, 32, 64, 1216, 7609, 19065, 19065, 7609, 1216, 64, 128, 3936, 38981, 154858, 245268, 154858, 38981, 3936, 128, 256, 12736, 199761, 1255585, 3146755 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS Table starts ...1.....1.......2.........4...........8.............16...............32 ...1.....4......11........36.........116............376.............1216 ...2....11......57.......289........1485...........7609............38981 ...4....36.....289......2362.......19065.........154858..........1255585 ...8...116....1485.....19065......245268........3146755.........40424861 ..16...376....7609....154858.....3146755.......64074526.......1302610899 ..32..1216...38981...1255585....40424861.....1302610899......41971040844 ..64..3936..199761..10186158...519218802....26501432610....1352138182759 .128.12736.1023597..82615013..6669141957...539075345618...43565815810587 .256.41216.5245049.670126562.85661208693.10966382557858.1403705064843757 LINKS R. H. Hardin, Table of n, a(n) for n = 1..180 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) for n>2 k=2: a(n) = 2*a(n-1) +4*a(n-2) for n>4 k=3: a(n) = 3*a(n-1) +8*a(n-2) +14*a(n-3) +4*a(n-4) k=4: [order 16] k=5: [order 48] EXAMPLE Some solutions for n=4 k=4 ..0..1..2..1....0..1..2..0....0..1..1..0....0..1..2..1....0..1..2..0 ..1..2..1..0....2..0..0..1....2..1..1..2....2..0..1..2....1..2..0..2 ..2..1..0..2....1..0..0..2....1..0..0..1....1..2..0..1....0..0..2..1 ..1..2..1..0....2..1..2..0....2..0..0..2....0..1..2..0....0..0..1..2 CROSSREFS Column 1 is A000079(n-2) Column 2 is A206687 Sequence in context: A298242 A282283 A288416 * A241108 A151706 A055372 Adjacent sequences: A240890 A240891 A240892 * A240894 A240895 A240896 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Apr 14 2014 STATUS approved

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Last modified August 4 07:10 EDT 2024. Contains 374905 sequences. (Running on oeis4.)