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 A274749 T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (-1,-2) (0,-1) or (-1,0) and new values introduced in order 0..2. 11
 1, 1, 1, 2, 3, 2, 4, 8, 9, 4, 8, 22, 34, 27, 8, 16, 60, 133, 144, 81, 16, 32, 164, 518, 813, 610, 243, 32, 64, 448, 2017, 4554, 4967, 2584, 729, 64, 128, 1224, 7858, 25585, 40242, 30349, 10946, 2187, 128, 256, 3344, 30605, 143634, 327123, 355504, 185435, 46368 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS Table starts ...1.....1......2........4..........8...........16............32 ...1.....3......8.......22.........60..........164...........448 ...2.....9.....34......133........518.........2017..........7858 ...4....27....144......813.......4554........25585........143634 ...8....81....610.....4967......40242.......327123.......2661918 ..16...243...2584....30349.....355504......4190533......49475642 ..32...729..10946...185435....3140840.....53680592.....920432562 ..64..2187..46368..1133025...27748676....687685512...17123659885 .128..6561.196418..6922887..245154340...8809672678..318581114142 .256.19683.832040.42299477.2165891856.112857546696.5927090659144 LINKS R. H. Hardin, Table of n, a(n) for n = 1..363 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) for n>2 k=2: a(n) = 3*a(n-1) k=3: a(n) = 4*a(n-1) +a(n-2) k=4: a(n) = 6*a(n-1) +a(n-2) -2*a(n-3) for n>4 k=5: a(n) = 9*a(n-1) -14*a(n-3) +10*a(n-4) -2*a(n-5) for n>6 k=6: [order 9] for n>11 k=7: [order 13] for n>15 Empirical for row n: n=1: a(n) = 2*a(n-1) for n>2 n=2: a(n) = 2*a(n-1) +2*a(n-2) n=3: a(n) = 2*a(n-1) +7*a(n-2) +2*a(n-3) -2*a(n-4) n=4: [order 8] n=5: [order 16] for n>17 n=6: [order 36] for n>38 n=7: [order 80] for n>83 EXAMPLE Some solutions for n=4 k=4 ..0..1..0..1. .0..1..0..2. .0..1..2..0. .0..1..0..2. .0..1..0..2 ..1..0..1..2. .1..0..2..0. .1..2..1..2. .1..2..1..0. .1..0..1..0 ..0..1..2..1. .0..1..0..2. .2..1..0..1. .2..1..0..1. .0..2..0..1 ..2..0..1..2. .2..0..2..0. .0..2..1..2. .1..0..1..0. .2..0..2..0 CROSSREFS Column 1 is A000079(n-2). Column 2 is A000244(n-1). Column 3 is A014445. Row 1 is A000079(n-2). Row 2 is A028859(n-1). Sequence in context: A154578 A059576 A274803 * A247936 A231150 A274858 Adjacent sequences:  A274746 A274747 A274748 * A274750 A274751 A274752 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jul 04 2016 STATUS approved

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Last modified December 2 01:47 EST 2021. Contains 349435 sequences. (Running on oeis4.)