A133998 Number of isomers of the soccerball C_60H_n Buckminster fullerene.

1, 1, 37, 577, 8236, 91030, 835476, 6436782, 42650532, 246386091, 1256602779, 5711668755, 23322797475, 86114390460, 289098819780, 886568158468, 2493474394140, 6453694644705, 15417163018725, 34080036632565, 69864082608210

Offset

0,3

Comments

a(n) = 0 for all n>60.

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.

Links

Alois P. Heinz, Table of n, a(n) for n = 0..60

Formula

G.f.: (1/60) [(1+x)^60 + 24(1+x^5)^12 + 20(1+x^3)^20 + 15(1+x^2)^30].

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);

Mathematica

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 *)

Crossrefs

Sequence in context: A231514 A156226 A217501 * A231381 A056217 A105464

Adjacent sequences: A133995 A133996 A133997 * A133999 A134000 A134001

Keyword

nonn,fini,full

Author

Thomas Wieder, Jan 09 2008

Extensions

G.f. corrected thanks to a hint by Alois P. Heinz.

Status

approved