A098193 Terms in a specific cycle of length 7 of the map x->A098189(x).

1608, 1748, 1920, 2028, 2088, 2584, 2776

Offset

1,1

Comments

The map enters a cycle of length 7 if started at x=294, indicated by A098190(294)=7.

The group members of this cycle are listed here in ascending order.

See other attractors in A098191-A098195.

Links

Table of n, a(n) for n=1..7.

Example

An iteration started at 294 leads to a attractor which cycles through 7 numbers:
294->516->712->458->462->1032->1248->1464->1752->[2088->2028->2776->1748->1608->1920->2584->2088,..].
After 9 transients, the cycle (indicated by bracketing its members) is entered.

Prog

(PARI) A098189(n)=my(f=factor(n)); prod(k=1, #f~, f[k, 1]^f[k, 2]+1) - eulerphi(f)
a(n)=if(n>1, A098189(n-1), 1608) \\ Charles R Greathouse IV, Mar 01 2017

Crossrefs

Cf. A063919, A098189, A098190, A098191, A098192, A098194, A098195.

Sequence in context: A205267 A210364 A224947 * A064251 A238149 A023685

Adjacent sequences: A098190 A098191 A098192 * A098194 A098195 A098196

Keyword

nonn,fini,full

Author

Labos Elemer, Sep 03 2004

Extensions

Edited by R. J. Mathar, May 15 2009

Status

approved