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 A223440 T(n,k)=Generalized Petersen graph (8,2) coloring a rectangular array: number of nXk 0..15 arrays where 0..15 label nodes of a graph with edges 0,1 0,8 8,14 8,10 1,2 1,9 9,15 9,11 2,3 2,10 10,12 3,4 3,11 11,13 4,5 4,12 12,14 5,6 5,13 13,15 6,7 6,14 7,0 7,15 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph 8
 16, 48, 48, 144, 256, 144, 432, 1376, 1376, 432, 1296, 7424, 14112, 7424, 1296, 3888, 40160, 147520, 147520, 40160, 3888, 11664, 217600, 1562176, 3099264, 1562176, 217600, 11664, 34992, 1180256, 16693920, 67182208, 67182208, 16693920, 1180256 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts .....16........48..........144.............432...............1296 .....48.......256.........1376............7424..............40160 ....144......1376........14112..........147520............1562176 ....432......7424.......147520.........3099264...........67182208 ...1296.....40160......1562176........67182208.........3049973040 ...3888....217600.....16693920......1485628224.......142702806112 ..11664...1180256....179532768.....33277934848......6790055219264 ..34992...6405888...1939216640....751557814208....326095786136512 .104976..34782688..21008925952..17060996532992..15740601974728144 .314928.188912640.228065409888.388541047749184.761894144429277728 LINKS R. H. Hardin, Table of n, a(n) for n = 1..220 FORMULA Empirical for column k: k=1: a(n) = 3*a(n-1) k=2: a(n) = 8*a(n-1) -11*a(n-2) -16*a(n-3) k=3: a(n) = 15*a(n-1) -18*a(n-2) -310*a(n-3) +167*a(n-4) +475*a(n-5) -244*a(n-6) -100*a(n-7) +48*a(n-8) k=4: [order 14] k=5: [order 36] k=6: [order 75] EXAMPLE Some solutions for n=3 k=4 ..7.15..7..0....1..0..7..0...10..8.14.12....8.14.12.10....9..1..9.11 ..6..7..6..7....2..1..0..7...12.10.12.14...14.12.10..8....1..9.11..9 ..7.15..7.15...10..2..1..0...14..8.14..8....8.14.12.14....9..1..9..1 CROSSREFS Column 1 is A188825(n+1) Sequence in context: A083307 A235765 A235548 * A223402 A260985 A322448 Adjacent sequences: A223437 A223438 A223439 * A223441 A223442 A223443 KEYWORD nonn,tabl AUTHOR R. H. Hardin Mar 20 2013 STATUS approved

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Last modified February 20 21:52 EST 2024. Contains 370219 sequences. (Running on oeis4.)