[seqfan] Re: Tables based on permutation statistics from FindStat database

[Neil Sloane]

Peter,  That's a great idea!  The more the better, I say.

One thing to keep in mind is that these more specialized databases tend to
disappear without warning after a few years,
leaving us with a lot of broken links and sometimes no clear definitions.
I've seen it happen many times.   We should try to design the OEIS entries
for their statistics so that at least the basic data and the definitions
(and other essential information) are still meaningful even if their
database goes down the drain.


Best regards
Neil

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



On Sun, Mar 21, 2021 at 12:35 AM Peter Kagey <peterkagey at gmail.com> wrote:

> Hi SeqFans,
>
> I imagine that some of you may know about findstat.org <
> http://findstat.org/>, the combinatorial statistics database. It works a
> little like the OEIS, but instead of maps from N to Z, it has maps from
> other combinatorial objects to Z.
>
> It currently has 370 statistics on permutations, ranging from "number of
> reduced words" (St000001 <
> http://www.findstat.org/StatisticsDatabase/St000001/>) to "number of
> distinct positions of the pattern letter 1 in occurrences of 132 in a
> permutation" (St001685 <
> http://www.findstat.org/StatisticsDatabase/St001685/>).
>
> For many of these permutation statistics, the OEIS has a corresponding
> table "T(n,k) is the number of permutations pi in S_n such that
> St######(pi) = k$. For example:
> A008302 for the "Mahonian statistics" (See: St000004, St000018, St000156,
> St000224, St000246, St000304, St000305, St000334, St000339, St000446,
> St000692, St000868, St001671.)
> A132393 for St000007, St000314, St000542, St000991, St001661.
> A008292 for St000021, St000155, St000213, St000245, St000325, St000333,
> St000337, St000470, St000662, St000703, St000742, St001298.
> A126065 for St000829.
>
> I've made a list of over a hundred permutation statistics in the FindStat
> database that do not appear to have a corresponding table in the OEIS,
> listed below.
>
> Some of these tables are worth adding to the OEIS, but deciding which are
> interesting and submitting new sequences is obviously quite a bit of work.
> If folks are interested in adding some of these tables, it may be
> worthwhile to coordinate and be systematic about it.
>
> Also, I have some other data that I've scraped and that I can put on my
> wiki page if anyone is interested in seeing that.
>
> pk
>
> [St000034],[St000054, St000740],[St000060,
> St000724],[St000064],[St000123],[St000217,
> St000219],[St000235],[St000238],[St000243],[St000279],[St000317,
> St000373],[St000352],[St000367],[St000374,
> St000996],[St000375],[St000401],[St000402],[St000404, St000440],[St000405,
> St000408],[St000406],[St000407],[St000423, St000428],[St000424,
> St000426],[St000434, St000435],[St000436, St000437],[St000462, St000866,
> St000961],[St000463],[St000483],[St000486],[St000494],[St000495],[St000534,
> St000648],[St000538],[St000545],[St000619],[St000622],[St000623],[St000624],[St000647],[St000649,
> St000650],[St000663],[St000664],[St000666],[St000673],[St000677],[St000725],[St000750],[St000751],[St000779],[St000799,
> St000800],[St000801, St000802, St000803,
> St000804],[St000809],[St000831],[St000842],[St000844],[St000862],[St000864],[St000871],[St000872],[St000883],[St000884],[St000887],[St000891],[St000923],[St000962],[St000963],[St001004],[St001005],[St001052],[St001059],[St001061],[St001076],[St001078],[St00
>  1079],[St001080],[St001082],[St001083],[St001084],[St001085],[St001087],[St001090],[St001114],[St001115],[St001174],[St001207],[St001208],[St001269],[St001285],[St001287],[St001344],[St001359],[St001388],[St001390],[St001394],[St001403],[St001439],[St001461],[St001464],[St001466],[St001469],[St001470],[St001489],[St001511],[St001513,
> St001549],[St001520],[St001535],[St001550,
> St001551],[St001552],[St001556],[St001557],[St001558],[St001559],[St001569],[St001579],[St001662],[St001663],[St001682,
> St001685]
>
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