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A159300
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Number of n-edge-colorings of the first Blanusa Snark.
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1
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0, 0, 0, 0, 355147776, 13295453346240, 25745183823790080, 9551858012597416320, 1228730978590223646720, 75591521652028890364416, 2700989527181949160980480, 63609790553234418963634560
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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COMMENTS
| The first Blanusa Snark is a cubic graph on 18 vertices and 27 edges with edge chromatic number 4.
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LINKS
| Weisstein, Eric W. "Blanusa Snarks".
Weisstein, Eric W. "Edge Coloring".
Timme, Marc; van Bussel, Frank; Fliegner, Denny; Stolzenberg, Sebastian (2009) "Counting complex disordered states by efficient pattern matching: chromatic polynomials and Potts partition functions", New J. Phys. 11 023001, doi: 10.1088/1367-2630/11/2/023001.
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FORMULA
| a(n) = n^27 -54*n^26 + ... (see Maple program).
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MAPLE
| a:= n-> n^27 -54*n^26 +1413*n^25 -23868*n^24 +292528*n^23 -2771950*n^22 +21130574*n^21 -133117276*n^20 +706470634*n^19 -3203528850*n^18 +12543744946*n^17 -42748437230*n^16 +127531683624*n^15 -334390244348*n^14 +772424405433*n^13 -1573143663006*n^12 +2822347194555*n^11 -4448140977042*n^10 +6127258124900*n^9 -7317667245560*n^8 +7485899667360*n^7 -6443746655392*n^6 +4545578587072*n^5 -2524167305856*n^4 +1033644121344*n^3 -276852249600*n^2 +36240795648*n: seq (a(n), n=0..15);
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CROSSREFS
| Sequence in context: A167517 A189124 A189125 * A125623 A069319 A104850
Adjacent sequences: A159297 A159298 A159299 * A159301 A159302 A159303
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KEYWORD
| nonn
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AUTHOR
| Alois P. Heinz (heinz(AT)hs-heilbronn.de), Apr 09 2009
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