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 A275183 T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (-2,-1) (-1,0) or (-1,1) and new values introduced in order 0..2. 11
 1, 2, 1, 5, 4, 2, 14, 16, 7, 4, 41, 64, 25, 12, 8, 122, 256, 89, 41, 21, 16, 365, 1024, 317, 141, 85, 37, 32, 1094, 4096, 1129, 482, 353, 181, 65, 64, 3281, 16384, 4021, 1651, 1465, 914, 389, 114, 128, 9842, 65536, 14321, 5653, 6081, 4603, 2386, 834, 200, 256, 29525 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ...1...2....5....14.....41.....122......365......1094.......3281........9842 ...1...4...16....64....256....1024.....4096.....16384......65536......262144 ...2...7...25....89....317....1129.....4021.....14321......51005......181657 ...4..12...41...141....482....1651.....5653.....19356......66277......226937 ...8..21...85...353...1465....6081....25241....104769.....434873.....1805057 ..16..37..181...914...4603...23313...117916....596625....3018913....15274618 ..32..65..389..2386..14643...90793...561044...3472521...21488129...132962186 ..64.114..834..6228..46799..355258..2688402..20397794..154665843..1172975241 .128.200.1781.16249.149772.1392050.12931103.120384453.1120217646.10428404709 .256.351.3799.42451.479722.5466938.62408531.713359905.8156812360.93298660085 LINKS R. H. Hardin, Table of n, a(n) for n = 1..364 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) for n>2 k=2: a(n) = 2*a(n-1) -a(n-2) +a(n-3) k=3: a(n) = 4*a(n-1) -6*a(n-2) +5*a(n-3) -a(n-4) -a(n-5) for n>8 k=4: [order 9] for n>12 k=5: [order 16] for n>21 k=6: [order 34] for n>39 k=7: [order 67] for n>73 Empirical for row n: n=1: a(n) = 4*a(n-1) -3*a(n-2) n=2: a(n) = 4*a(n-1) n=3: a(n) = 3*a(n-1) +2*a(n-2) n=4: a(n) = 2*a(n-1) +4*a(n-2) +3*a(n-3) for n>4 n=5: a(n) = 2*a(n-1) +7*a(n-2) +8*a(n-3) for n>5 n=6: a(n) = 2*a(n-1) +12*a(n-2) +19*a(n-3) -4*a(n-4) -12*a(n-5) -16*a(n-6) for n>7 n=7: [order 9] for n>10 EXAMPLE Some solutions for n=4 k=4 ..0..0..1..2. .0..1..1..2. .0..0..1..1. .0..0..1..2. .0..0..0..1 ..2..2..0..1. .2..0..0..1. .2..2..0..0. .2..2..0..1. .1..2..2..0 ..0..1..2..0. .1..2..2..2. .0..1..1..2. .1..1..2..2. .0..1..1..2 ..2..0..1..2. .0..0..1..1. .2..0..0..1. .0..0..0..1. .2..2..0..0 CROSSREFS Column 1 is A000079(n-2). Column 2 is A005251(n+3). Row 1 is A007051(n-1). Row 2 is A000302(n-1). Row 3 is A007484(n-1). Sequence in context: A227372 A164678 A164679 * A275131 A280513 A185023 Adjacent sequences:  A275180 A275181 A275182 * A275184 A275185 A275186 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jul 19 2016 STATUS approved

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Last modified April 7 04:20 EDT 2020. Contains 333292 sequences. (Running on oeis4.)