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 A280398 T(n,k) = Number of n X k 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. 13
 0, 0, 0, 2, 2, 0, 2, 6, 14, 0, 8, 16, 66, 74, 0, 14, 34, 238, 554, 358, 0, 36, 76, 769, 3002, 4250, 1666, 0, 74, 158, 2432, 15476, 35676, 31242, 7582, 0, 168, 336, 7440, 78540, 292622, 410670, 223706, 33978, 0, 358, 698, 22494, 388686, 2366358, 5338004 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS Table starts .0......0........2..........2............8............14............36 .0......2........6.........16...........34............76...........158 .0.....14.......66........238..........769..........2432..........7440 .0.....74......554.......3002........15476.........78540........388686 .0....358.....4250......35676.......292622.......2366358......18736311 .0...1666....31242.....410670......5338004......68842232.....874372050 .0...7582...223706....4627308.....95102542....1958524652...39877186802 .0..33978..1571978...51310794...1664838008...54763698930.1785907191220 .0.150486.10887706..561854184..28747146050.1510604213832 .0.660210.74545802.6090082758.490958066148 LINKS R. H. Hardin, Table of n, a(n) for n = 1..111 FORMULA Empirical for column k: k=1: a(n) = a(n-1); k=2: a(n) = 10*a(n-1) -33*a(n-2) +40*a(n-3) -16*a(n-4); k=3: [order 6] for n>7; k=4: [order 14] for n>15; k=5: [order 24] for n>25; k=6: [order 64] for n>65. Empirical for row n: n=1: a(n) = 2*a(n-1) +3*a(n-2) -4*a(n-3) -4*a(n-4) for n>5; n=2: a(n) = 3*a(n-1) +a(n-2) -7*a(n-3) +4*a(n-5); n=3: [order 17] for n>19; n=4: [order 54] for n>59. EXAMPLE Some solutions for n=4, k=4 ..0..0..0..0. .0..0..0..0. .0..0..1..1. .0..0..0..0. .0..1..1..1 ..1..1..2..0. .1..1..1..2. .0..1..1..1. .1..1..1..1. .1..1..1..1 ..1..2..0..0. .1..1..2..2. .0..0..0..0. .2..0..0..2. .0..0..1..1 ..2..2..2..2. .1..2..2..0. .0..0..0..2. .0..0..2..2. .0..0..0..0 CROSSREFS Sequence in context: A021458 A279741 A099064 * A052422 A294525 A011218 Adjacent sequences:  A280395 A280396 A280397 * A280399 A280400 A280401 KEYWORD nonn,tabl,changed AUTHOR R. H. Hardin, Jan 02 2017 STATUS approved

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Last modified May 18 08:30 EDT 2022. Contains 353785 sequences. (Running on oeis4.)