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 A232295 T(n,k)=Number of nXk 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally or antidiagonally 14
 1, 3, 1, 7, 15, 1, 15, 97, 73, 1, 33, 587, 1313, 355, 1, 73, 3615, 20563, 17759, 1727, 1, 161, 22387, 336079, 718483, 240241, 8401, 1, 355, 138505, 5546705, 31119789, 25116353, 3249889, 40867, 1, 783, 856719, 91293443, 1370434057, 2885285507 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts .1......3..........7.............15.................33.....................73 .1.....15.........97............587...............3615..................22387 .1.....73.......1313..........20563.............336079................5546705 .1....355......17759.........718483...........31119789.............1370434057 .1...1727.....240241.......25116353.........2885285507...........339565321435 .1...8401....3249889......877968487.......267483142619.........84130295708483 .1..40867...43963319....30690409685.....24797475083765......20843967523877175 .1.198799..594719777..1072818688305...2298890419506403....5164265865545602229 .1.967065.8045152705.37501616113029.213122398219612007.1279489656786836660869 LINKS R. H. Hardin, Table of n, a(n) for n = 1..199 FORMULA Empirical for column k: k=1: a(n) = a(n-1) k=2: a(n) = 4*a(n-1) +4*a(n-2) +a(n-3) k=3: a(n) = 12*a(n-1) +20*a(n-2) +9*a(n-3) k=4: [order 10] k=5: [order 13] for n>14 k=6: [order 37] for n>38 Empirical for row n: n=1: a(n) = 2*a(n-1) +a(n-3) n=2: [order 9] n=3: [order 31] EXAMPLE Some solutions for n=3 k=4 ..2..2..2..1....2..1..2..2....0..1..0..1....2..2..2..2....1..2..1..0 ..2..1..0..0....1..2..2..1....2..2..2..0....1..1..2..0....2..0..2..2 ..0..0..1..2....1..0..2..2....2..2..1..2....2..2..1..2....2..2..1..0 CROSSREFS Row 1 is A193641 Sequence in context: A219063 A218810 A218638 * A228763 A101845 A193606 Adjacent sequences: A232292 A232293 A232294 * A232296 A232297 A232298 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 22 2013 STATUS approved

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Last modified August 12 12:46 EDT 2024. Contains 375092 sequences. (Running on oeis4.)