[seqfan] Re: 2,5,8,11,23, then what?

jean-paul allouche jean-paul.allouche at imj-prg.fr
Sun Nov 15 21:09:25 CET 2015


Hi Vladimir
The link for this other paper of yours (for subscribers only) is
http://www.ems-ph.org/journals/show_abstract.php?issn=0013-6018&vol=68&iss=3&rank=4

best
jp

Le 15/11/15 20:06, Vladimir Shevelev a écrit :
> Thank you, Jean-Paul;
> here this sequence is in Section 11, point 3, p.33.
> Besides, many additional facts on this topic
> one can find in V. Shevelev and J. Spilker, Up-down
> coefficients for permutations. Elemente der Mathematik,
> Vol. 68 (2013), no.3, 115–127 (I have no a link).
>
> Best regards,
> Vladimir
>
> ________________________________________
> From: SeqFan [seqfan-bounces at list.seqfan.eu] on behalf of jean-paul allouche [jean-paul.allouche at imj-prg.fr]
> Sent: 15 November 2015 20:44
> To: seqfan at list.seqfan.eu
> Subject: [seqfan] Re: 2,5,8,11,23, then what?
>
> Dear all
>
> It might be worth adding that this sequence appears
> in the published paper:
> http://www.emis.de/journals/INTEGERS/papers/m1/m1.pdf
>
> best
> jp
>
> Le 15/11/15 17:44, Neil Sloane a écrit :
>> Dear Seqfans,
>> In this paper on page 31 there is a sequence 2 5 8 11 23 ... which needs
>> more terms:
>>
>> Vladimir Shevelev, On the Basis Polynomials in the Theory of Permutations
>> with Prescribed Up-Down Structure, arXiv|math.CO/0801.0072.
>>
>> It appears that this is not yet in the OEIS. Maybe someone could extend it?
>>
>> There is also an irregular triangle of coefficients in the Appendix, which
>> (correcting an obvious error) I have made into https://oeis.org/A263848.
>> This needs checking and could use more terms.
>>
>> _______________________________________________
>>
>> Seqfan Mailing list - http://list.seqfan.eu/
>
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