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 A223344 T(n,k)=5X5X5 triangular graph coloring a rectangular array: number of nXk 0..14 arrays where 0..14 label nodes of a graph with edges 0,1 0,2 1,2 1,3 1,4 2,4 3,4 2,5 4,5 3,6 3,7 4,7 6,7 4,8 5,8 7,8 5,9 8,9 6,10 6,11 7,11 10,11 7,12 8,12 11,12 11,12 8,13 9,13 12,13 9,14 13,14 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph 8
 15, 60, 60, 264, 612, 264, 1176, 6696, 6696, 1176, 5280, 74736, 190740, 74736, 5280, 23712, 840456, 5514360, 5514360, 840456, 23712, 106560, 9474840, 161370036, 419434596, 161370036, 9474840, 106560, 478848, 106904016, 4730218284 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ......15...........60..............264.................1176 ......60..........612.............6696................74736 .....264.........6696...........190740..............5514360 ....1176........74736..........5514360............419434596 ....5280.......840456........161370036..........32292951660 ...23712......9474840.......4730218284........2496237714588 ..106560....106904016.....138947808456......193291992449808 ..478848...1206530100....4081817304888....14976739459479096 .2151936..13618313028..119957730775764..1160751100183303776 .9670656.153717108696.3525232400391672.89971810635836546940 LINKS R. H. Hardin, Table of n, a(n) for n = 1..144 FORMULA Empirical for column k: k=1: a(n) = 4*a(n-1) +4*a(n-2) -8*a(n-3) k=2: a(n) = 13*a(n-1) -11*a(n-2) -94*a(n-3) -7*a(n-4) +79*a(n-5) -3*a(n-6) k=3: [order 30] EXAMPLE Some solutions for n=3 k=4 ..7..3..7..4....7.11..6..3....7..4..5..4....7..3..7..8....7..3..7..3 ..3..1..4..7....3..6.11..7....3..7..4..1....3..4..8..4....3..1..3..7 ..1..4..7..8....1..3..7.11....7..4..1..0....4..8..9..8....6..3..4..8 CROSSREFS Sequence in context: A261798 A022287 A288747 * A206238 A064761 A005945 Adjacent sequences:  A223341 A223342 A223343 * A223345 A223346 A223347 KEYWORD nonn,tabl AUTHOR R. H. Hardin Mar 19 2013 STATUS approved

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Last modified October 22 12:30 EDT 2019. Contains 328318 sequences. (Running on oeis4.)