[seqfan] Re: "A dream" of a series :-)
Gottfried Helms
Annette.Warlich at t-online.de
Sun Feb 15 08:16:28 CET 2009
Dear seqfans -
there was no time in summer, when I discussed this
"dream of a series". In the meantime I could put things
together into a short readable article.
Hope you enjoy!
http://go.helms-net.de/math/musings/dreamofasequence.pdf
The main sequence exists in OEIS (A067911, (*1)) although
- not with the relation to the generating process as described
in the article (I'll supply that information soon)
- modified in the sense, that in my article the sequence
is defined by denominators of rational numbers and some
missing primefactors may be seen as cancelled by the numerators
of the coefficients by the rational-arithmetic-system in Pari/GP.
If I want to add the numerator-sequence to OEIS we must decide,
whether I expand my numerators such that the denominators match
the values in A067911 or whether I should send numerators and
denominators in their reduced versions.
Neill - what's your opinion?
Gottfried Helms
(*1) http://www.research.att.com/~njas/sequences/A067911
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