[seqfan] Re: counting matrices by column rises

[Benoît Jubin]

> In their notation, your 2-d array T(n,k) is their R(k,n,0).

It looks like T(n,k) = R(n,k,0), actually. I made some modifications
to http://oeis.org/A212855.

Benoît

On Mon, May 28, 2012 at 10:34 AM, Neil Sloane <njasloane at gmail.com> wrote:
> Ron, Thanks for correcting and extending that sequence! I have edited
> A212806 accordingly. I also added a recurrence that they give for these
> numbers.
>
> In their notation, your 2-d array T(n,k) is their R(k,n,0).
>
> Could you possibly enter your array as a new sequence (along
> with any rows and columns as you see fit)? (I would do it, but I am
> a little short of time right now...)
>
> Neil
>
> On Sun, May 27, 2012 at 7:09 PM, Ron Hardin <rhhardin at att.net> wrote:
>
>> An independent method agrees with my a(1..8) so it is probably right
>>
>>
>> 1 1
>> 2 3
>> 3 163
>> 4 271375
>> 5 21855093751
>> 6 128645361626874561
>> 7 78785944892341703819175577
>> 8 6795588328283070704898044776213094655
>> 9 107414633522643325764587104395687638119674465944431
>> 10 392471529081605251407320880492124164530148025908765037878553312273
>> 11
>>
>> 407934916447631403509359040563002566177814886353044858592046202746464825839911293037
>>
>> 12
>>
>> 145504642879259477281012058091622940407633028752039882958125884101920523620098689992011184443546760689025
>>
>> 13
>>
>> 21135271439464432464176935094829670293300173994858086117339990919638578785101112746033630102080750631173356200219659873152099061
>>
>> 14
>>
>> 1463431183893375284984759872630587182499184659625296120735012582497139747462114467290044676071057164230423617594882951286074571204260950002444632564792783
>>
>> 15
>>
>> 55886718275220893578836861232131886110904982213285838767171390268901523944185854477484902051056266062269027903116254642437898839626273376488836474974624509295801509147543849318171763
>>
>> 16
>>
>> 1348385569964624639358574892174460118889501498918522166832935200827715758081302249382041657004648509881448145286340717650181151030363404122918159081774157683623737791616797624376030976737382041097064975414203580415
>>
>>
>> Doing the same problem for a nXk matrix you get T(n,k) table
>>
>>
>>  .1...1.......1..........1.............1...............1...............1
>> .1...3......19........211..........3651...........90921.........3081513
>> .1...7.....163.......8983........966751.......179781181.....53090086057
>> .1..15....1135.....271375.....158408751....191740223841.429966316953825
>> .1..31....7291....7225951...21855093751.164481310134301................
>> .1..63...45199..182199871.2801736968751................................
>> .1.127..275563.4479288703..............................................
>> .1.255.1666495.........................................................
>> .1.511.................................................................
>> .1.....................................................................
>>
>> Row 2 is A000275
>>
>> rhhardin at mindspring.com
>> rhhardin at att.net (either)
>>
>>
>>
>> ----- Original Message ----
>> > From: Ron Hardin <rhhardin at att.net>
>> > To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
>> > Sent: Sun, May 27, 2012 3:11:03 PM
>> > Subject: [seqfan] Re: counting matrices by column rises
>> >
>> > I don't agree on a(5), getting for a(1..8)
>> > 1 3 163 271375 21855093751  128645361626874561 78785944892341703819175577
>> > 6795588328283070704898044776213094655
>> >
>> > instead of
>> >
>> > 1, 3, 163,  271375, 21855093749
>> >
>> > The only check that my program is right, though, so  far, is that the
>> first 4
>> > terms agree (and presumably is unlikely to suddenly  go wrong at 5)
>> >
>> > I'll have to verify it and put it on a faster  machine.
>> >
>> > rhhardin at mindspring.com
>> > rhhardin at att.net (either)
>> >
>> >
>> >
>> > ----- Original Message ----
>> > > From: Neil Sloane  <njasloane at gmail.com>
>> > > To:  Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
>> > > Sent:  Sun, May 27, 2012 2:29:45 PM
>> > > Subject: [seqfan] counting matrices by  column rises
>> > >
>> > > Dear SeqFans, I just discovered this interesting  paper:
>> > > Abramson, Morton;  Promislow, David. Enumeration of arrays  by column
>> rises.
>> > > J. Combinatorial  Theory Ser. A 24 (1978), no. 2,  247--250. MR0469773
>> (57
>> > > #9554),
>> > > which led  me to add  A212805 and A212806 - the latter needs more
>> terms.
>> Ron?
>> > >
>> > > --
>> > > 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
>> > > Phone: 732 828 6098;  home page: http://NeilSloane.com
>> > > Email: njasloane at gmail.com
>> > >
>> > >  _______________________________________________
>> > >
>> > > Seqfan   Mailing list - http://list.seqfan.eu/
>> > >
>> >
>> > _______________________________________________
>> >
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>> >
>>
>> _______________________________________________
>>
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>
>
>
> --
> 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
> Phone: 732 828 6098; home page: http://NeilSloane.com
> Email: njasloane at gmail.com
>
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