OFFSET
0,2
REFERENCES
S. Selby, editor, CRC Basic Mathematical Tables, CRC Press, 1970, pp. 10-11.
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..10000
Eric Weisstein's World of Mathematics, Dodecahedron
Eric Weisstein's World of Mathematics, Platonic Solid
FORMULA
a(n) = round(3 * n^2 * sqrt(25 + 10*sqrt(5))).
EXAMPLE
a(4)=330 because round(3*4^2*sqrt(25 + 10*sqrt(5))) = round(48*6.88190...) = round(330.331...) = 330.
MATHEMATICA
With[{c=3*Sqrt[25+10*Sqrt[5]]}, Round[c*Range[0, 40]^2]] (* Harvey P. Dale, Jul 06 2018 *)
PROG
(PARI) for(n=0, 100, print1(round(3*n^2*sqrt(25+10*sqrt(5))), ", "))
(Magma) [Round(3 * n^2 * Sqrt(25+10*Sqrt(5))): n in [0..50]]; // Vincenzo Librandi, May 21 2011
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Rick L. Shepherd, May 28 2002
STATUS
approved