perplexus.info :: Sequences : Integers only

Integers only (Posted on 2014-03-31)

What is the smallest pair (a₁,a₂) of integers (a₁, less than a₂) to provide a list of 24 integers using
a recurrent function a_(n)=(a_(n-1)+a_(n-2))/2?

Submitted by Ady TZIDON

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Solution: (Hide)

I. If only positive integers are allowed for (a1, a2)
the pair is (1, 2^22 + 1).
ii. If zero is allowed: (0, 2^22).
iii. If all integers are allowed:(-2^21, 2^21).

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: Generalised approach	Steve Herman	2014-04-01 08:53:55
Generalised approach	Harry	2014-03-31 21:53:28
re(3): Some questions / Possible solution(s)	Jer	2014-03-31 20:29:02
re(2): Some questions / Possible solution(s)	Ady TZIDON	2014-03-31 15:21:06
re: Some questions / Possible solution(s) HINT	Ady TZIDON	2014-03-31 14:58:05
re: Some questions / Possible solution(s)	Jer	2014-03-31 14:56:35
Some questions / Possible solution(s)	tomarken	2014-03-31 14:46:35

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