The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A223556 T(n,k)=Petersen graph (3,1) coloring a rectangular array: number of nXk 0..5 arrays where 0..5 label nodes of a graph with edges 0,1 0,3 3,5 3,4 1,2 1,4 4,5 2,0 2,5 and every array movement to a horizontal or antidiagonal neighbor moves along an edge of this graph, with the array starting at 0 12
 1, 3, 6, 9, 27, 36, 27, 171, 243, 216, 81, 1089, 3249, 2187, 1296, 243, 6939, 44217, 61731, 19683, 7776, 729, 44217, 609309, 1795473, 1172889, 177147, 46656, 2187, 281763, 8410671, 53599905, 72906921, 22284891, 1594323, 279936, 6561, 1795473 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ........1..........3.............9...............27...................81 ........6.........27...........171.............1089.................6939 .......36........243..........3249............44217...............609309 ......216.......2187.........61731..........1795473.............53599905 .....1296......19683.......1172889.........72906921...........4715559621 .....7776.....177147......22284891.......2960456193.........414863325945 ....46656....1594323.....423412929.....120212193177.......36498667573629 ...279936...14348907....8044845651....4881332621169.....3211064180380305 ..1679616..129140163..152852067369..198211242377097...282501632829717621 .10077696.1162261467.2904189280011.8048559615522273.24853807982558115945 LINKS R. H. Hardin, Table of n, a(n) for n = 1..219 FORMULA Empirical for column k: k=1: a(n) = 6*a(n-1) k=2: a(n) = 9*a(n-1) k=3: a(n) = 19*a(n-1) k=4: a(n) = 41*a(n-1) -16*a(n-2) k=5: a(n) = 95*a(n-1) -626*a(n-2) +720*a(n-3) for n>4 k=6: [order 8] for n>9 k=7: [order 13] for n>15 Empirical for row n: n=1: a(n) = 3*a(n-1) n=2: a(n) = 7*a(n-1) -4*a(n-2) for n>3 n=3: a(n) = 17*a(n-1) -47*a(n-2) +41*a(n-3) -10*a(n-4) for n>6 n=4: [order 13] for n>16 n=5: [order 41] for n>45 EXAMPLE Some solutions for n=3 k=4 ..0..3..5..2....0..1..4..1....0..2..5..2....0..2..5..2....0..1..2..0 ..5..3..0..1....0..1..0..3....1..2..5..2....5..2..1..4....2..0..1..2 ..4..3..4..3....2..1..4..5....0..2..0..1....1..2..1..2....1..4..5..3 CROSSREFS Column 1 is A000400(n-1) Column 2 is A013708(n-1) Column 3 = 9*19^(n-1) is row 8 of A223556 with T(2+,3) = A121057(8,1+) Row 1 is A000244(n-1) Sequence in context: A301536 A296110 A019461 * A067862 A062927 A178467 Adjacent sequences:  A223553 A223554 A223555 * A223557 A223558 A223559 KEYWORD nonn,tabl AUTHOR R. H. Hardin Mar 22 2013 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified August 10 12:19 EDT 2020. Contains 336379 sequences. (Running on oeis4.)