[seqfan] Re: A130011 and the definition of "slowest increasing".
Eric Angelini
Eric.Angelini at kntv.be
Mon Jul 13 15:48:06 CEST 2015
Hello Alois,
> If you want to have a new sequence with the greedy approach,
> please use a new A-number.
... if a new seq with the greedy approach enters the OEIS, may I suggest:
1) that a(1) = 0
2) a slight modification of the definition into:
« Lexicographically earliest sequence such that a(n) terms are < to 3*a(n) »
Best,
É.
-----Message d'origine-----
De : SeqFan [mailto:seqfan-bounces at list.seqfan.eu] De la part de Heinz, Alois
Envoyé : lundi 13 juillet 2015 15:23
À : Sequence Fanatics Discussion list
Objet : [LIKELY_SPAM][seqfan] Re: A130011 and the definition of "slowest increasing".
Am 13.07.2015 um 08:19 schrieb Lars Blomberg:
>
> Could someone please define what "slowest increasing" means?
>
> And what is the difference between "slowest increasing" and
> "lexicographically first"?
>
"lexicographically first" ist the greedy approach. Use the smallest a(n) that satisfies the condition given a(1), ..., a(n-1).
And do not change it later. This is easy algorithmically.
"slowest increasing" here means that you accept a larger than greedy
a(n) if it is possible to get a smaller a(m) for a larger m>n.
This is more complicated algorithmically.
Please do not change the definition of A130011.
If you want to have a new sequence with the greedy approach, please use a new A-number.
Best, Alois
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