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 A223364 6X6X6 triangular graph coloring a rectangular array: number of nX2 0..20 arrays where 0..20 label nodes of the fully triangulated graph and every array movement to a horizontal or vertical neighbor moves along an edge of this graph 1
 90, 990, 11610, 139158, 1686042, 20537766, 250834914, 3067525350, 37537522362, 459492912054, 5625465499458, 68876427444102, 843332143519674, 10326055803410934, 126436970898858978, 1548158980998752262 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Column 2 of A223370 LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = 17*a(n-1) -44*a(n-2) -208*a(n-3) +363*a(n-4) +659*a(n-5) -448*a(n-6) -364*a(n-7) +66*a(n-8) +24*a(n-9) EXAMPLE Some solutions for n=3 ..4..7....7.11...11..6...11.17...13.12....8.13....0..1....6..3....8.13....8.12 ..2..4...12..7...12.11...17.12...12.17....4..8....2..4...11..7....9.14....4..8 ..4..2...11.12...11..6...11..7...13.18....5..4....1..3....6..3....8.13....8..7 Vertex neighbors: 0 -> 1 2 1 -> 0 2 3 4 2 -> 0 1 4 5 3 -> 1 4 6 7 4 -> 1 2 3 5 7 8 5 -> 2 4 8 9 6 -> 3 7 10 11 7 -> 3 4 6 8 11 12 8 -> 4 5 7 9 12 13 9 -> 5 8 13 14 10 -> 6 11 15 16 11 -> 6 7 10 12 16 17 12 -> 7 8 11 13 17 18 13 -> 8 9 12 14 18 19 14 -> 9 13 19 20 15 -> 10 16 16 -> 10 11 15 17 17 -> 11 12 16 18 18 -> 12 13 17 19 19 -> 13 14 18 20 20 -> 14 19 CROSSREFS Sequence in context: A173483 A202960 A124167 * A048548 A013427 A013425 Adjacent sequences:  A223361 A223362 A223363 * A223365 A223366 A223367 KEYWORD nonn AUTHOR R. H. Hardin Mar 19 2013 STATUS approved

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Last modified January 17 22:33 EST 2022. Contains 350410 sequences. (Running on oeis4.)