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A032179
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Number of necklaces with n labeled beads of 3 colors.
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0
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3, 9, 54, 486, 5832, 87480, 1574640, 33067440, 793618560, 21427701120, 642831033600, 21213424108800, 763683267916800, 29783647448755200, 1250913192847718400, 56291093678147328000, 2701972496551071744000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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LINKS
| C. G. Bower, Transforms (2)
Alexsandar Petojevic, The Function vM_m(s; a; z) and Some Well-Known Sequences, Journal of Integer Sequences, Vol. 5 (2002), Article 02.1.7
Index entries for sequences related to necklaces
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FORMULA
| "CIJ" (necklace, indistinct, labeled) transform of 3, 0, 0, 0...
E.g.f.: log(1/(1-3x)).
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MATHEMATICA
| s=3; lst={s}; Do[s+=n*s+s; AppendTo[lst, s], {n, 1, 5!, 3}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 08 2008]
Rest[With[{nn=20}, CoefficientList[Series[Log[1/(1-3x)], {x, 0, nn}], x] Range[0, nn]!]] (* From Harvey P. Dale, Sep 22 2011 *)
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CROSSREFS
| Sequence in context: A175596 A025226 A001194 * A175117 A183303 A075979
Adjacent sequences: A032176 A032177 A032178 * A032180 A032181 A032182
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KEYWORD
| nonn,easy
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AUTHOR
| Christian G. Bower (bowerc(AT)usa.net)
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