[seqfan] Re: Seq triangles that are unimodular

Neil Sloane njasloane at gmail.com
Fri Jul 14 16:13:48 CEST 2017


Newman's book on Integral Matrices is a good reference

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 Fri, Jul 14, 2017 at 9:10 AM, Peter Lawrence <peterl95124 at sbcglobal.net>
wrote:

> Pascal’s triangle as a matrix turns out to be unimodular (inverse has all
> integer entries)
> Stirling numbers of first kind as matrix and of second kind are inverses
> of each other
> Fibonomal triangle as matrix is unimodular,  A010048, and A103910
> Gaussian Binomial Triangles turn out to be unimodular, e.g. A022166 and
> A135950
>
> Is there a theory of triangular unimodular matricies ?
>
> For a given rank they form a group under multiplication, is there a finite
> set
> of generators (it would seem not) ?, or a simple infinite set ?
>
> Any info or references would be appreciated
>
> Thanks,
> Peter A. Lawrence.
>
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