[seqfan] Re: A099107

[Neil Sloane]

Rob, Thanks! I revised the entry (A099107)

On Fri, Jul 11, 2014 at 3:15 PM, Rob Pratt <Rob.Pratt at sas.com> wrote:
> 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
>>
>>
>> _______________________________________________
>>
>> Seqfan Mailing list - http://list.seqfan.eu/
>>
>> _______________________________________________
>>
>> Seqfan Mailing list - http://list.seqfan.eu/
>
>
>
> --
> 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
>
> _______________________________________________
>
> Seqfan Mailing list - http://list.seqfan.eu/
>
>
> _______________________________________________
>
> Seqfan Mailing list - http://list.seqfan.eu/
>



-- 
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