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A223596
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Petersen graph (8,2) coloring a rectangular array: number of nX5 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
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1
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1296, 32768, 1124064, 43725920, 1807461152, 77164934624, 3355919411936, 147579242411936, 6534353238114336, 290550417324168160, 12953574232435565408, 578463167657721834784, 25858916789120236286624
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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Empirical: a(n) = 130*a(n-1) -6594*a(n-2) +165720*a(n-3) -2048065*a(n-4) +6908942*a(n-5) +113207352*a(n-6) -1251611248*a(n-7) +1682835356*a(n-8) +35015368440*a(n-9) -160813753152*a(n-10) -226727555648*a(n-11) +2857884027456*a(n-12) -2954267687808*a(n-13) -19659496636672*a(n-14) +47658204103168*a(n-15) +38882496389120*a(n-16) -227511665233920*a(n-17) +120677010550784*a(n-18) +383689593430016*a(n-19) -527695273951232*a(n-20) -28874362912768*a(n-21) +441922152038400*a(n-22) -227408161538048*a(n-23) -76438468296704*a(n-24) +100031633817600*a(n-25) -21626502512640*a(n-26) -5816459460608*a(n-27) +2924872728576*a(n-28) -309237645312*a(n-29)
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EXAMPLE
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Some solutions for n=3
..4.12..4.12..4....2.10.12.10..2....4.12.14.12.14....0..8.14.12..4
.10.12.10.12.14....2.10.12.10.12...10.12.10.12.14...10..8.14.12..4
.14..8.14.12.10....8.10..8.10..8...14..8.14.12.14...14.12.14.12..4
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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