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A223595 Petersen graph (8,2) coloring a rectangular array: number of nX4 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, diagonal or antidiagonal neighbor moves along an edge of this graph 1
432, 6736, 122608, 2372080, 47659632, 982848688, 20631729648, 438231627440, 9379905920496, 201754894742320, 4353130535839216, 94109174401819824, 2037032269494019568, 44126508340010479152, 956337724569802746864 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 4 of A223599
LINKS
FORMULA
Empirical: a(n) = 45*a(n-1) -639*a(n-2) +2781*a(n-3) +4328*a(n-4) -42674*a(n-5) +32672*a(n-6) +131496*a(n-7) -190080*a(n-8) +31104*a(n-9)
EXAMPLE
Some solutions for n=3
.10.12.10.12...13.15.13..5...10..8.14.12....2..3..2.10...13.15..9.15
.10..8.14..8....9.11.13..5...10..8.14.12...11..3..2..3....9.11..9..1
.10..8.10.12....9.11.13.15....0..8.14..6....2..3..2.10...13.15..9..1
CROSSREFS
Sequence in context: A234405 A234400 A236279 * A223436 A230922 A109123
KEYWORD
nonn
AUTHOR
R. H. Hardin Mar 23 2013
STATUS
approved

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Last modified April 14 20:39 EDT 2024. Contains 371667 sequences. (Running on oeis4.)