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21

Part of PEN M Problems

Problems(1)

M 21

Source:

5/25/2007
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
functionRecursive Sequences