[seqfan] Re: A099107

[Rob Pratt]

Looks like there is an offset issue.

Also, attached are the values up to n = 100, computed by using integer linear programming.

-----Original Message-----
From: SeqFan [mailto:seqfan-bounces at list.seqfan.eu] On Behalf Of Neil Sloane
Sent: Friday, July 11, 2014 10:55 AM
To: Sequence Fanatics Discussion list
Subject: [seqfan] Re: A099107

I've edited A099107 - thanks for the detective work!

On Fri, Jul 11, 2014 at 9:35 AM, Rob Pratt <Rob.Pratt at sas.com> wrote:
> 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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--
Dear Friends, I have now retired from AT&T. New coordinates:

Neil J. A. Sloane, President, OEIS Foundation
11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
Phone: 732 828 6098; home page: http://NeilSloane.com
Email: njasloane at gmail.com

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