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A223694 Petersen graph (8,2) coloring a rectangular array: number of 3Xn 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 antidiagonal neighbor moves along an edge of this graph 1
4096, 3888, 37008, 363600, 3788640, 40075632, 427910688, 4599435024, 49661922528, 537886587312, 5838098127264, 63455538372048, 690372511036128, 7515830878003440, 81857442742673184, 891795388496947344 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Row 3 of A223692
LINKS
FORMULA
Empirical: a(n) = 13*a(n-1) +15*a(n-2) -391*a(n-3) -399*a(n-4) +1739*a(n-5) +205*a(n-6) -2013*a(n-7) +580*a(n-8) +396*a(n-9) -144*a(n-10) for n>12
EXAMPLE
Some solutions for n=3
.15..7..0...11..3..4....5.13.15....0..1..0....9.11.13...15.13.15....7..6..7
.15..7.15...11..3..4....5.13..5....0..1..0...13..5..6....5.13.15....7.15.13
.15..7..6...11..3..4....5.13.11....0..1..2....6..5..6...15..9..1....9.11.13
CROSSREFS
Sequence in context: A176768 A223601 A186490 * A186489 A221261 A069273
KEYWORD
nonn
AUTHOR
R. H. Hardin Mar 25 2013
STATUS
approved

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Last modified February 21 13:52 EST 2024. Contains 370235 sequences. (Running on oeis4.)