OFFSET
1,1
COMMENTS
It is conjectured that S_n always reaches a cycle.
There is one cycle of length 54 (least component is 34, all components have at most four digits, cf. A119454), 19 different cycles of length 90 with 4-digit components (least components are 1027 + 2*k for k = 0, ..., 18, cf. A119455), 444 different cycles of length 450 with 6-digit components, 3 different cycles of length 810 with 6-digit components (least components are 101007, 101011, 101015), 19 different cycles of length 1890 with 6-digit components (least components are 100027 + 2*k for k = 0, ..., 18) and at least 19 different cycles of length 19890 with 8-digit components (least components are 10000027 + 2*k for k = 0, ..., 18).
LINKS
N. J. A. Sloane and others, Sequences of RADD type, OEIS wiki.
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Klaus Brockhaus, May 20 2006
STATUS
approved