MathDB
M 21

Source:

May 25, 2007
functionRecursive Sequences

Problem Statement

In the sequence 1,0,1,0,1,0,3,5,⋯1, 0, 1, 0, 1, 0, 3, 5, \cdots, each member after the sixth one is equal to the last digit of the sum of the six members just preceeding it. Prove that in this sequence one cannot find the following group of six consecutive members: 0,1,0,1,0,10, 1, 0, 1, 0, 1
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