[seqfan] Re: Permutations along all diagonals and subdiagonals

[Ron Hardin]

Good (also from mail from Mathar).  I can't compute enough terms for nX5, so 
that's it empirical-wise.

 rhhardin at mindspring.com
rhhardin at att.net (either)



----- Original Message ----
> From: Alois Heinz <heinz at hs-heilbronn.de>
> To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
> Sent: Tue, July 27, 2010 11:03:46 AM
> Subject: [seqfan] Re: Permutations along all diagonals and subdiagonals
> 
> 
> I get from your list gf:
> 
> -(-2097152*x^40 +1048576*x^38 -393216*x^36  +1900544*x^34 -679936*x^32
> +806912*x^30 -946688*x^28 +470272*x^26  -485376*x^24 +246656*x^22 -62592*x^20
> +65600*x^18 -33296*x^16 -4584*x^14  -5670*x^12 +4271*x^10 +1199*x^8 -194*x^6
> -168*x^4 -21*x^2-1) *x^5  /
> (-2097152*x^42 +1048576*x^40 +131072*x^38 +1638400*x^36  -581632*x^34
> +536576*x^32 -811520*x^30 +301824*x^28 -362752*x^26 +220800*x^24  -34816*x^22
> +54912*x^20 -39568*x^18 -5192*x^16 -5438*x^14 +4973*x^12  +1032*x^10 +79*x^8
> -150*x^6 -21*x^4 -4*x^2+1)