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A158343
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Number of n-colorings of the Great Rhombicuboctahedral Graph.
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2
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0, 0, 2, 99211884354, 128404924735509594684, 454361430700434252792759260, 49304046115345772654010126834750, 587577368663018907136035272423004222, 1542698164185222733139192724703158049304, 1351870094632808306932934388395466991540824
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OFFSET
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0,3
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COMMENTS
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The Great Rhombicuboctahedral Graph has 48 vertices and 72 edges.
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LINKS
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Alois P. Heinz, Table of n, a(n) for n = 0..1000
Weisstein, Eric W. "Great Rhombicuboctahedral Graph".
Weisstein, Eric W. "Chromatic Polynomial".
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
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a(n) = n^48 -72*n^47 + ... (see Maple program).
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MAPLE
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a:= n-> n^48 -72*n^47 +2556*n^46 -59628*n^45 +1027962*n^44 -13963384*n^43 +155609710*n^42 -1462722354*n^41 +11833912225*n^40 -83671357220*n^39 +523235389312*n^38 -2921738977412*n^37 +14682261749359*n^36 -66826405863356*n^35 +276977119651945*n^34 -1050146773509960*n^33 +3656254498423918*n^32 -11728007823709952*n^31 +34755565384722662*n^30 -95382143564487362*n^29 +242898674702061819*n^28 -574951784922236576*n^27 +1266754599120775627*n^26 -2600750916486764078*n^25 +4980027914010487395*n^24
-8899566732232426920*n^23 +14848595452990189925*n^22 -23134202360563757120*n^21 +33654620125551260783*n^20 -45699744902488727526*n^19 +57889556263321349095*n^18 -68345464733552018627*n^17 +75109741829991047501*n^16 -76707186919739116852*n^15 +72642495050235566549*n^14 -63614601332090693546*n^13 +51332734030165204034*n^12 -37995071799236906932*n^11 +25644857441690560749*n^10 -15662964316212708644*n^9 +8568850073632256499*n^8 -4141689518405172628*n^7 +1735425596156145573*n^6 -613608780402588056*n^5 +175859991682860459*n^4 -38297031056003649*n^3 +5628146663027689*n^2 -417945559511493*n: seq (a(n), n=0..20);
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CROSSREFS
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Sequence in context: A154422 A154423 A072293 * A139180 A072947 A077303
Adjacent sequences: A158340 A158341 A158342 * A158344 A158345 A158346
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KEYWORD
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nonn
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AUTHOR
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Alois P. Heinz, Mar 16 2009
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STATUS
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approved
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