Triangle

Gottfried Helms helms at uni-kassel.de
Thu Apr 17 15:48:39 CEST 2008


Sorry, short corrections:

Am 17.04.2008 15:10 schrieb Gottfried Helms:
>  Vk = MDk * transpose(Hj[k,])
> 
> where [k,] denotes the k'th row and the index j at Hj indicates the
>  1/2*k*(k^2-4k+5)  'th iterate/row-shift
this should be:
   " j = binomial(k-1,2)  'th Mathar-iterate "

> 
> ------------------------------------
> 
> This is an eminent simple recursive scheme to obtain the coefficients
> for the integer (and fractional!) iteration of x -> t^x - 1.
> 
> However it is again enormous consumtive: the required iterations of
> the Mathar-products is cubic with the index!
> 
> So for index k=20 I need already 8000 iterations with always growing

  This is then significantly less: it's binomial(19,2). Duh!

I mixed it with the number of resulting columns; this has the value
of the above given   1/2*k*(k^2-4k+5)  -formula.

Gottfried Helms






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