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A133998
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Number of isomers of the soccerball C_60H_n Buckminster fullerene.
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0
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1, 1, 37, 577, 8236, 91030, 835476, 6436782, 42650532, 246386091, 1256602779, 5711668755, 23322797475, 86114390460, 289098819780, 886568158468, 2493474394140, 6453694644705, 15417163018725, 34080036632565, 69864082608210
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| a(n) = 0 for all n>60.
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REFERENCES
| K. Balasubramanian, Combinatorics and Spectroscopy, Table 2.5; In: D. Bonchev and D. H. Rouvray, Chemical Group Theory, Gordon and Breach Publishers, 1995, ISBN 2-88449-034-5, pp. 37-70.
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FORMULA
| G.f.: (1/60) [(1+x)^60 + 24(1+x^5)^12 + 20(1+x^3)^20 + 15(1+x^2)^30].
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MAPLE
| a:= n-> coeff (1/60 *((1+b)^60 +24*(1+b^5)^12 +20*(1+b^3)^20 +15*(1+b^2)^30), b, n): seq (a(n), n=0..60);
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CROSSREFS
| Sequence in context: A123035 A006303 A156226 * A056217 A105464 A140764
Adjacent sequences: A133995 A133996 A133997 * A133999 A134000 A134001
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KEYWORD
| nonn,fini
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AUTHOR
| Thomas Wieder (thomas.wieder(AT)t-online.de), Jan 09 2008
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EXTENSIONS
| G.f. corrected thanks to a hint by Alois Heinz.
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