|
| |
|
|
A074920
|
|
phi(n) = 6n/Pi^2 rounded to nearest integer.
|
|
0
| | |
|
|
|
OFFSET
| 1,2
|
|
|
COMMENTS
| The average value of phi(n) can be approximated for large n by 6n/Pi^2 (Tattersall, p. 162).
|
|
|
REFERENCES
| Tattersall, J. "Elementary Number Theory in Nine Chapters", Cambridge University Press, 2001.
|
|
|
EXAMPLE
| phi(99) = 60 and 6*99/Pi^2 = 60.1848...., which rounds off to 60. Hence 99 is a term of the sequence.
|
|
|
MATHEMATICA
| s = Pi^2; l = {}; Do[ If[Abs[EulerPhi[n] - 6 n/ s] <= 0.5, l = Append[l, n]], {n, 1, 10^5}]; l
|
|
|
CROSSREFS
| Sequence in context: A067242 A028354 A028355 * A180631 A102842 A009263
Adjacent sequences: A074917 A074918 A074919 * A074921 A074922 A074923
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Joseph L. Pe (joseph_l_pe(AT)hotmail.com), Oct 01 2002
|
| |
|
|