[seqfan] Re: Two make a palindrome

Maximilian Hasler maximilian.hasler at gmail.com
Sun Nov 10 01:54:27 CET 2013


Rob, Eric, SeqFans,
I propose the sequence as https://oeis.org/draft/A228407 where I added
a link to Rob's post/calculations, and also a list of "records of
minima", i.e., (n,a(n)) where the least missing integers occur. Maybe
these could become sequences on their own (the values and the indices
separately) if further investigations in that sense are to be made.
Regards,
Maximilian

> Le 9 nov. 2013 à 17:10, "Rob Arthan" <rda at lemma-one.com> a écrit :
>
>> Eric,
>>
>> That's a fun sequence and an interesting conjecture. As you say, it is not easy to calculate by hand. To get a feel
>> for the conjecture I wrote an ML program to do it. This is what I got for the first 200 values:
(...)
>> My program is now in a loop printing out n, a(n) and m(n). The evidence currently supports your conjecture but m(n) is
>> growing quite slowly:
>>
>>   a(5846) = 589, m(5846) = 598
>>   a(5847) = 598, m(5846) = 679
>>   ...
>>   a(11539) = 1617, m(11539) = 679
>>   a(11540) =  679 m(11540) = 697
>>
>> So 697 persisted as the smallest missing integer for more than 5,000 stages. I will leave it running and report back if anything noteworthy occurs.
>>
>> Regards,
>>
>> Rob.
>>



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