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 A232589 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or antidiagonally, with no adjacent elements equal 16
 0, 10, 2, 2, 34, 4, 26, 12, 124, 6, 20, 152, 42, 456, 10, 70, 108, 996, 122, 1686, 18, 90, 690, 606, 6406, 332, 6232, 32, 210, 744, 8104, 3002, 41328, 882, 23034, 56, 336, 3232, 7568, 93236, 14398, 266490, 2322, 85130, 98, 674, 4516, 66744, 68072, 1079300 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ...0......10.....2........26.......20...........70..........90.............210 ...2......34....12.......152......108..........690.........744............3232 ...4.....124....42.......996......606.........8104........7568...........66744 ...6.....456...122......6406.....3002........93236.......68072.........1364998 ..10....1686...332.....41328....14398......1079300......595304........28339640 ..18....6232...882....266490....66950.....12486510.....5045772.......589476500 ..32...23034..2322...1718514...306022....144506106....41969054.....12273587770 ..56...85130..6092..11082034..1382638...1672314806...344123498....255585490674 ..98..314626.15962..71463916..6200520..19353375198..2791211292...5322596390316 .172.1162804.41802.460844060.27671244.223972627480.22459482618.110844512072980 LINKS R. H. Hardin, Table of n, a(n) for n = 1..477 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) -a(n-2) +a(n-3) k=2: a(n) = 4*a(n-1) -a(n-2) -a(n-3) +2*a(n-4) k=3: a(n) = 4*a(n-1) -4*a(n-2) +a(n-3) k=4: a(n) = 5*a(n-1) +9*a(n-2) +2*a(n-3) +a(n-4) +2*a(n-5) k=5: [order 14] k=6: [order 23] for n>27 k=7: [order 44] for n>45 Empirical for row n: n=1: a(n) = -a(n-1) +2*a(n-2) +4*a(n-3) +3*a(n-4) +a(n-5) n=2: [order 9] for n>10 n=3: [order 24] for n>26 n=4: [order 49] for n>54 EXAMPLE Some solutions for n=5 k=4 ..2..1..2..1..0....2..1..2..1..0....2..1..0..1..2....0..1..2..1..0 ..0..1..2..1..0....0..1..0..1..2....2..1..0..1..2....2..1..0..1..2 ..2..1..2..1..2....0..1..2..1..2....0..1..2..1..0....0..1..2..1..2 ..0..1..2..1..0....0..1..0..1..2....2..1..0..1..2....0..1..0..1..0 ..2..1..2..1..2....0..1..0..1..0....0..1..0..1..0....0..1..2..1..2 ..0..1..0..1..0....2..1..2..1..2....2..1..2..1..0....2..1..0..1..0 CROSSREFS Sequence in context: A351306 A265994 A201278 * A010175 A363839 A323421 Adjacent sequences: A232586 A232587 A232588 * A232590 A232591 A232592 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 26 2013 STATUS approved

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Last modified April 22 01:34 EDT 2024. Contains 371887 sequences. (Running on oeis4.)