[seqfan] A124824 ("LambertW analog of the Bell numbers") : Some more information of its occurences available?
Gottfried Helms
helms at uni-kassel.de
Sat Feb 8 11:19:25 CET 2014
Seqfans -
just rereading an older treatize of mine I arrive again
at a sequence of numbers, which is known by
A124824: LambertW analog of the Bell numbers:
a(n) = (1/e)*Sum_{k>=0} k*(n+k)^(n-1)/k! for n>0 with a(0)=1.
I've already seen this in 2010 when I wrote my treatize; looking
again and with a fresh view at it I'd like now to know where this
sequence occured and whether the authors could possibly provide
interesting references.
I'd dealt with the question of "tetration of matrices"
see http://go.helms-net.de/math/tetdocs/PascalMatrixTetrated.pdf
page 10 "Exponential of PP"
--------------------
Also I'd like to ask whether there's someone around who
would like to help me improve the article - I think there's
something more in this concept worth to get digged out, but due
to weak health I don't think I'll be able to put sufficient energy
into a serious revision and further development of that study.
Gottfried
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