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

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

Offset: 1

Author

Labos Elemer, Sep 03 2004

Keywords

• nonn
• fini
• full

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.

Examples

			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.
		

Crossrefs

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

Programs

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

Extensions

Edited by R. J. Mathar, May 15 2009