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A063497
Number of atoms in first n shells of type I hyperfullerene.
1
0, 60, 300, 840, 1800, 3300, 5460, 8400, 12240, 17100, 23100, 30360, 39000, 49140, 60900, 74400, 89760, 107100, 126540, 148200, 172200, 198660, 227700, 259440, 294000, 331500, 372060, 415800, 462840, 513300, 567300, 624960, 686400, 751740, 821100, 894600
OFFSET
0,2
COMMENTS
The third derivative of the sum of 5th powers: A000539. - Gregory R. Bryant, Jun 14 2013
REFERENCES
T. P. Martin, Shells of atoms, Phys. Reports, 273 (1996), 199-241, eq. (14).
LINKS
FORMULA
a(n) = 20*n^3 + 30*n^2 + 10*n.
G.f.: 60*x * (1 + x)/(1 - x)^4. - Colin Barker, Mar 01 2012
MATHEMATICA
Table[20n^3 + 30n^2 + 10n, {n, 0, 50}] (* David Nacin, Mar 01 2012 *)
PROG
(PARI) { for (n=0, 1000, write("b063497.txt", n, " ", 20*n^3 + 30*n^2 + 10*n) ) } \\ Harry J. Smith, Aug 23 2009
(Magma) [20*n^3 + 30*n^2 + 10*n : n in [0..50]]; // Wesley Ivan Hurt, May 03 2021
CROSSREFS
Cf. A000539.
Sequence in context: A268805 A146750 A298045 * A096363 A033591 A133118
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Aug 01 2001
STATUS
approved