Bell-numbers, Definition and alternating sums; a short treatise

[Gottfried Helms]

Am 31.05.2008 11:26 schrieb Gottfried Helms:
> Dear seqfans -
> 
> 
>  The link is
>  http://go.helms-net.de/math/binomial/04_5_SummingBellStirling.pdf
> 
>  Comments - (also to enhance the quality of the article)
>  are much welcome. I'm going to extend the article with
>  some further findings, as they come up in my next
>  investigations.
> 
>  Gottfried Helms
> 
> 

I've just uploaded an update, where I included the summation-
process for the alternating sums of Bell-numbers 2'nd-order as well.
(OEIS A000258 :[1,1,3,12,60,358,...]
Proposal: their alternating sum can be expressed in terms of the
exponential-integral-function EI()

Gottfried Helms