perplexus.info :: Numbers : Erase the right 90

Erase the right 90 (Posted on 2016-01-28)

101 distinct real numbers are written in any order

Prove that it is possible to erase 90 of them leaving a sequence of 11 numbers that are in either a strictly increasing or strictly decreasing order.

No Solution Yet Submitted by Ady TZIDON

Rating: 4.0000 (1 votes)

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Sequence?

| Comment 2 of 5 |

I managed to show 1,2,6,7 are the minimum count of real numbers from which you an erase 0,1,2,3 to leave a sequence in order.

https://oeis.org/A241720 seems to be the sequence for this, which has 101 as its 11th term.

Posted by Jer on 2016-01-29 07:26:40

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