A063498 - OEIS

%I #15 Dec 26 2024 15:20:26

%S 0,32,104,236,448,760,1192,1764,2496,3408,4520,5852,7424,9256,11368,

%T 13780,16512,19584,23016,26828,31040,35672,40744,46276,52288,58800,

%U 65832,73404,81536,90248,99560,109492,120064,131296,143208,155820,169152,183224,198056,213668

%N Number of atoms in cluster of n layers around C_60.

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

%H Harry J. Smith, <a href="/A063498/b063498.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).

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

%F G.f.: 4*x*(8 - 6*x + 3*x^2)/(1 - x)^4. - _Colin Barker_, Apr 20 2012

%o (PARI) a(n) = { 10*n^2 + (10*n^3 + 56*n)/3 } \\ _Harry J. Smith_, Aug 23 2009

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_, Aug 01 2001