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A133998
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Number of isomers of the soccerball C_60H_n Buckminster fullerene.
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1
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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
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OFFSET
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0,3
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COMMENTS
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a(n) = 0 for all n>60.
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REFERENCES
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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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LINKS
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FORMULA
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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
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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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MATHEMATICA
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CoefficientList[Series[(1/60)((1+x)^60+24(1+x^5)^12+ 20(1+x^3)^20+ 15(1+x^2)^30), {x, 0, 20}], x] (* Harvey P. Dale, Apr 26 2019 *)
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CROSSREFS
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KEYWORD
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nonn,fini,full
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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