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

[Gottfried Helms]

Dear seqfans -

 inspired by some entries in OEIS concerning the
 Bell-numbers and the sequences of Bell-numbers of
 higher order, I've written an article, which may
 give a nice compilation of definitions, of some
 curious properties (first example: alternating sum)
 and a matrix-scheme, which allows to easily derive
 more results and also to unify known results into
 short matrix-formulae.

 Don't know, whether this article may, for instance,
 be included in the journal of integer sequences ?

 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




Just by blind comparison of 
http://research.att.com/~njas/sequences/?q=id:A139795|id:A137315
1,3,7,7,13,13,19,19,31,31,31,31,43,43,43,43,61,61,61,61,67,67,67,67,91,91,91,91,91,91,91,91,121,121,121,121,127,127,127,127,151,151,
151,151,151,151,151,151,211,211,211,211,211,211,211,211,211,211,211,211,211,

1,3,7,7,13,13,19,19,31,31,31,31,43,43,43,43,61,61,61,61,67,67,67,67,91,91,91,91,91,91,91,91,121,121,121,121,127,127,127,127,151,151,
151,151,151,151,151,151,

one would think they are related. It might be useful to add comments on
whether this is some coincidence or just revealing that they are duplicates.

Richard