A063498 Number of atoms in cluster of n layers around C_60.

0, 32, 104, 236, 448, 760, 1192, 1764, 2496, 3408, 4520, 5852, 7424, 9256, 11368, 13780, 16512, 19584, 23016, 26828, 31040, 35672, 40744, 46276, 52288, 58800, 65832, 73404, 81536, 90248, 99560, 109492, 120064, 131296, 143208, 155820, 169152, 183224, 198056, 213668

Offset

0,2

References

T. P. Martin, Shells of atoms, Phys. Reports, 273 (1996), 199-241, eq. (17).

Links

Harry J. Smith, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

Formula

a(n) = 10*n^3/3 + 10*n^2 + 56*n/3.

G.f.: 4*x*(8 - 6*x + 3*x^2)/(1 - x)^4. - Colin Barker, Apr 20 2012

Prog

(PARI) a(n) = { 10*n^2 + (10*n^3 + 56*n)/3 } \\ Harry J. Smith, Aug 23 2009

Crossrefs

Sequence in context: A194645 A134845 A167982 * A173951 A233691 A337786

Adjacent sequences: A063495 A063496 A063497 * A063499 A063500 A063501

Keyword

nonn,easy,changed

Author

N. J. A. Sloane, Aug 01 2001

Status

approved