perplexus.info :: Sequences : Alternating sextet

Alternating sextet (Posted on 2007-03-30)

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.

No Solution Yet Submitted by e.g.

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Puzzle Thoughts

Comment 7 of 7 |

Consider the series modulus 5.

It then has a cycle length of only 208 and 010101 does not appear, which proves that it will never occur.

Edited on August 4, 2023, 2:07 am

Posted by K Sengupta on 2023-08-03 10:56:55

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