[seqfan] Re: A099107

[Rob Pratt]

The word "consecutive" should not appear in A099107.  Those numbers result from considering all pairs, not just the consecutive ones.

If instead you consider only consecutive pairs, then n = 4 yields {0,2,3,4}.

-----Original Message-----
From: SeqFan [mailto:seqfan-bounces at list.seqfan.eu] On Behalf Of Don Reble
Sent: Friday, July 11, 2014 8:45 AM
To: Sequence Fanatics Discussion list
Subject: [seqfan] Re: A099107

> %I A099107
> %S 2,3,5,8,10,11,14,18,20,21,24,26,28,32,34,36,38,40,42
> %N Larger value of the smallest set of integer numbers where no pair
>    of consecutive numbers sums to a square.

> a(n) is the least M such that there are n values in 1..M, with no two 
> values summing to a square.

    Oops: that sequence is already there.
    (Thanks to Dr. Hasler for pointing that out.)

> %N A210380 Consider all n-tuples of distinct positive integers for 
> which no two different elements add up to a square. This sequence 
> gives the smallest maximal integer in such tuples.

    A099107 is the same, except that they're tuples of non-negative
    integers. (I should have guessed 0..M, not 1..M.) The values are

    0,2,3,5,8,10,11,14,18,20,21,24,26,28,32,34,36,38,40,42,48,52,54,56,
    58,60,62,64,72,74,76,78,80

    just as Jean-Charles stated.

--
Don Reble  djr at nk.ca


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