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 A233082 T(n,k)=Number of nXk 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally or antidiagonally, top left element zero, and 1 appearing before 2 in row major order 13
 1, 2, 3, 5, 14, 10, 14, 95, 122, 36, 41, 662, 1985, 1094, 136, 122, 4631, 32414, 41675, 9842, 528, 365, 32414, 529862, 1588262, 875165, 88574, 2080, 1094, 226895, 8662343, 60632429, 77824814, 18378455, 797162, 8256, 3281, 1588262, 141615905 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ......1.........2.............5................14....................41 ......3........14............95...............662..................4631 .....10.......122..........1985.............32414................529862 .....36......1094.........41675...........1588262..............60632429 ....136......9842........875165..........77824814............6938214854 ....528.....88574......18378455........3813415862..........793945203881 ...2080....797162.....385947545......186857377214........90851753687090 ...8256...7174454....8104898435.....9156011483462.....10396235291448605 ..32896..64570082..170202867125...448644562689614...1189649113515482414 .131328.581130734.3574260209615.21983583571791062.136132453105625552657 LINKS R. H. Hardin, Table of n, a(n) for n = 1..241 FORMULA Empirical for column k: k=1: a(n) = 6*a(n-1) -8*a(n-2) k=2: a(n) = 10*a(n-1) -9*a(n-2) k=3: a(n) = 22*a(n-1) -21*a(n-2) k=4: a(n) = 50*a(n-1) -49*a(n-2) k=5: a(n) = 118*a(n-1) -411*a(n-2) +294*a(n-3) k=6: a(n) = 283*a(n-1) -4251*a(n-2) +13573*a(n-3) -9604*a(n-4) k=7: [order 6] Empirical for row n: n=1: a(n) = 4*a(n-1) -3*a(n-2) n=2: a(n) = 8*a(n-1) -7*a(n-2) for n>3 n=3: a(n) = 19*a(n-1) -45*a(n-2) +27*a(n-3) for n>5 n=4: a(n) = 49*a(n-1) -450*a(n-2) +1466*a(n-3) -1853*a(n-4) +789*a(n-5) for n>8 n=5: [order 10] for n>14 n=6: [order 21] for n>26 n=7: [order 52] for n>58 EXAMPLE Some solutions for n=3 k=4 ..0..1..3..1....0..1..3..1....0..0..0..1....0..0..1..1....0..0..1..0 ..1..1..3..2....3..2..3..2....2..0..1..0....2..3..1..3....2..3..2..3 ..3..3..2..3....3..3..3..2....2..3..1..3....1..1..3..2....1..3..1..0 CROSSREFS Column 1 is A007582(n-1) Column 2 is A199560(n-1) Row 1 is A007051(n-1) Sequence in context: A173654 A126333 A266192 * A039575 A291923 A283448 Adjacent sequences:  A233079 A233080 A233081 * A233083 A233084 A233085 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 03 2013 STATUS approved

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Last modified August 7 10:19 EDT 2022. Contains 355985 sequences. (Running on oeis4.)