In the sequence 1, 0, 1, 0, 1, 0, 3, 5... each member after the sixth one equals the units' digit of the sum of the six preceding numbers of the sequence.

Prove that the subsequence 0, 1, 0, 1, 0, 1, will never occur.

(In reply to Brute force and luck by Old Original Oskar!)

My program wouldn't have had any problem with any cycle length... it requires little RAM.

Posted by Federico Kereki on 2007-03-31 11:45:55