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A071008 Numbers n such that uphi(uphi(n))=n/2. 0
2, 4, 16, 256, 364, 1456, 3276, 13104, 21600, 23296, 65536, 209664, 249984, 367200, 1285632, 3110400, 5963776, 6596304, 9749376, 23046144 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

If n=Product p_i^r_i then uphi(n)=Product ( p_i^r_i-1); for example uphi(12)=(4-1)*(3-1)=6

If 2^n+1 is a Fermat prime then 2^(2*n) is a solution of the equation.

3110400 and 4294967296 are also in the sequence.

FORMULA

{n: 2*A047994(A047994(n)) = n}.

PROG

(PARI) forstep(n=2, 1e9, 2, A047994(A047994(n))*2-n|print1(n", ")) \\ - M. F. Hasler, Nov 20 2010

CROSSREFS

Cf. A030163.

Sequence in context: A050472 A109457 A105788 * A178077 A001146 A114641

Adjacent sequences:  A071005 A071006 A071007 * A071009 A071010 A071011

KEYWORD

nonn

AUTHOR

Yasutoshi Kohmoto (zbi74583(AT)boat.zero.ad.jp)

EXTENSIONS

More terms from R. J. Mathar, A. P. Heinz and M. F. Hasler, Nov 20 2010

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Last modified February 14 23:16 EST 2012. Contains 205687 sequences.