De : Graeme McRae <g_m@mcraefamily.com> Date : Thu, 8 Dec 2005 07:47:23 -0800 Searching randomly, I found that: A loop of length 8 is possible, starting at 0, 6, 1, 8, 7, 8, 6, 6, 3, 0. A loop of length 24 is possible, starting at 0, 4, 2, 1, 9, 7, 1, 7, 7, 4. A loop of length 26 is possible, starting at 2, 3, 2, 7, 0, 9, 8, 7, 8, 4. A loop of length 78 is possible, starting at 2, 2, 5, 2, 6, 0, 3, 8, 5, 7. --Graeme

The nine sequences (beginning with ...0 1; ...2; 9) involve digits in their construction and our loops are made of terms (numbers).

I tried your digit-propositions without success, no "digit loops" hidden inside. I did this way: -pasting the nine complete sequences (the beginning + the first loop + the ten first terms of the second loop) on a new page of my "word" program; -compacting them (removing all the "blanks" and the ",") -compacting the same way your ten digits propositions; -searching, using the "find" function of my "word" program. I found only my control. So I don't understand. May be I miss a point? Are you shure of your finding? Or of your sequences? I send you separately our complete sequences. Thank you for your interest.

Alexandre