[seqfan] Re: Matrix sequence

Max Alekseyev maxale at gmail.com
Sat Nov 30 23:19:18 CET 2013

```I think permanents of [1,2,...,n; x+1, x+2,..., x+n;...; (n-1)*x+1,
(n-1)*x+2,...,(n-1)*x+n] with P_n(n)=A232773(n) would be more natural.
Regards,
Max

On Sat, Nov 30, 2013 at 3:05 PM, Vladimir Shevelev <shevelev at bgu.ac.il> wrote:
> In A232818 I give a generalization on polynomials P_n(x) with P_n(1)=A232773(n).
> P_n(x) is permanent of the n x n matrix with numbers 1,2,...,n; n*x+1, n*x+2,..., n*x+n;...; (n-1)*n*x+1, (n-1)*n*x+2,...,(n-1)*n*x+n in order across rows.
> The first 3 polynomials are 1, 6x+4, 216x^2+198x+36. Please, can anyone give
> a continuation.
>
> Best regards,
> ________________________________________
> ________________________________________
> From: SeqFan [seqfan-bounces at list.seqfan.eu] on behalf of franktaw at netscape.net [franktaw at netscape.net]
> Sent: 30 November 2013 09:06
> To: seqfan at list.seqfan.eu
> Subject: [seqfan] Re: Matrix sequence
>
> I have submitted this as https://oeis.org/draft/A232773
>
>
> -----Original Message-----
> From: W. Edwin Clark <wclark at mail.usf.edu>
> To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
> Sent: Sat, Nov 30, 2013 12:49 am
> Subject: [seqfan] Re: Matrix sequence
>
>
> With Maple's help I get:
>
> 1, 10, 450, 55456, 14480700, 6878394720, 5373548250000,
> 6427291156586496,
> 11157501095973529920, 26968983444160450560000,
> 87808164603589940623344000,
> 374818412822626584819196231680, 2050842983500342507649178541536000,
> 14112022767608502582976078751055052800,
> 120142393609740734132923604417900064000000,
> 1247685757487613731555240243531523777626112000,
> 15611215293201211704775763606599418680180549632000,
> 232779239639608473840862118609020721416520230502400000,
> 4096457619901863802759384962306684567203571548729315328000
>
> which differs from your results in the 4th term. But this is still not
> in
> the OEIS. In fact 55456 lies in only one sequence (if you don't count A
> numbers) which is clearly not the right sequence.
>
> --Edwin Clark
>
>
> On Sat, Nov 30, 2013 at 12:02 AM, <franktaw at netscape.net> wrote:
>
>> What is the permanent of the matrix:
>>
>> 1 2 ... n
>> n+1 n+2 ... 2n
>> ...
>> n^2-n+1 n^2-n+2 ... n^2  ?
>>
>> The sequence appears to start
>>
>> 1,10,450,55128
>>
>> from n-1; this is not in the database. (These were hand-calculated.)
>>
>>
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