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 A275504 T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,0) or (-1,-1) and new values introduced in order 0..2. 11
 1, 2, 2, 5, 9, 3, 14, 54, 16, 6, 41, 324, 80, 28, 12, 122, 1944, 400, 136, 56, 24, 365, 11664, 2000, 656, 232, 104, 48, 1094, 69984, 10000, 3168, 988, 516, 200, 96, 3281, 419904, 50000, 15296, 4180, 2628, 1168, 380, 192, 9842, 2519424, 250000, 73856, 17712 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ...1....2.....5.....14......41......122.......365.......1094........3281 ...2....9....54....324....1944....11664.....69984.....419904.....2519424 ...3...16....80....400....2000....10000.....50000.....250000.....1250000 ...6...28...136....656....3168....15296.....73856.....356608.....1721856 ..12...56...232....988....4180....17712.....75024.....317812.....1346268 ..24..104...516...2628...13384....68080....346528....1763408.....8974288 ..48..200..1168...7140...43780...268152...1643372...10069540....61703488 ..96..380..2660..19368..143784..1063756...7886280...58423188...432942008 .192..724..6024..52864..470352..4220952..37846556..339516412..3045734096 .384.1380.13716.144228.1549756.16808164.182923008.1989999904.21655912500 LINKS R. H. Hardin, Table of n, a(n) for n = 1..312 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) for n>3 k=2: a(n) = a(n-1) +2*a(n-2) -a(n-4) for n>6 k=3: a(n) = 2*a(n-1) +2*a(n-2) -2*a(n-3) -4*a(n-4) +3*a(n-5) +a(n-6) -a(n-7) for n>11 k=4: [order 16] for n>20 k=5: [order 32] for n>36 k=6: [order 64] for n>68 Empirical for row n: n=1: a(n) = 4*a(n-1) -3*a(n-2) n=2: a(n) = 6*a(n-1) for n>2 n=3: a(n) = 5*a(n-1) for n>2 n=4: a(n) = 4*a(n-1) +4*a(n-2) n=5: a(n) = 3*a(n-1) +5*a(n-2) +a(n-3) n=6: a(n) = 3*a(n-1) +10*a(n-2) +4*a(n-3) -4*a(n-4) for n>5 n=7: a(n) = 3*a(n-1) +18*a(n-2) +11*a(n-3) -23*a(n-4) -4*a(n-5) for n>6 EXAMPLE Some solutions for n=4 k=4 ..0..0..1..1. .0..0..0..0. .0..0..0..0. .0..1..2..0. .0..1..0..0 ..0..1..2..0. .1..2..1..1. .1..1..2..2. .0..1..2..0. .1..1..2..2 ..1..1..2..0. .1..2..1..2. .1..2..2..1. .1..2..0..1. .1..2..2..1 ..2..2..0..1. .0..0..0..2. .2..2..0..0. .1..2..0..1. .0..0..0..0 CROSSREFS Column 1 is A003945(n-2). Row 1 is A007051(n-1). Row 3 is A055842. Row 4 is A108051(n+1). Sequence in context: A076949 A040009 A227527 * A275401 A011273 A274068 Adjacent sequences:  A275501 A275502 A275503 * A275505 A275506 A275507 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jul 30 2016 STATUS approved

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Last modified December 11 23:44 EST 2019. Contains 329945 sequences. (Running on oeis4.)