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A223436 Generalized Petersen graph (8,2) coloring a rectangular array: number of n X 4 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. 1
432, 7424, 147520, 3099264, 67182208, 1485628224, 33277934848, 751557814208, 17060996532992, 388541047749184, 8866017102928512, 202557753134780608, 4631201059795429632, 105934451744168513600, 2423832070620348866432 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 4 of A223440.
LINKS
FORMULA
Empirical: a(n) = 37*a(n-1) -272*a(n-2) -2014*a(n-3) +20537*a(n-4) -19463*a(n-5) -166878*a(n-6) +279708*a(n-7) +430814*a(n-8) -869500*a(n-9) -281352*a(n-10) +853376*a(n-11) -53696*a(n-12) -245568*a(n-13) +62720*a(n-14).
EXAMPLE
Some solutions for n=3
..8..0..8.14....7..6..7..0....4.12..4..3....6..7..6..5...14..8.10.12
.14..8..0..8....6..7.15..7....5..4..5..4....5..6..7..6....8.14..8.10
.12.14..8..0....7.15..9.15....4.12..4..5....6.14..6..5...10.12.10..2
CROSSREFS
Cf. A223440.
Sequence in context: A234400 A236279 A223595 * A230922 A109123 A223688
KEYWORD
nonn
AUTHOR
R. H. Hardin, Mar 20 2013
STATUS
approved

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Last modified February 22 13:38 EST 2024. Contains 370256 sequences. (Running on oeis4.)