[seqfan] Re: Interspersion/fractal with prime sums
franktaw at netscape.net
franktaw at netscape.net
Sun May 2 09:27:06 CEST 2010
While this sequence has fractal-like properties, it is not technically
a fractal sequence. "Interspersion" is not used loosely as "fractal
sequence" sometimes is, and is provably equivalent to the technical
definition of a fractal sequence; so it is certainly not an
interspersion.
Franklin T. Adams-Watters
-----Original Message-----
From: Eric Angelini <Eric.Angelini at kntv.be>
Hello SeqFans,
I guess the sequence hereunder is an "interspersion" or a "fractal"
(please correct me):
"a(n)+a(n+1) is prime and all even terms rebuild the sequence itself":
S=1,1,2,1,1,2,1,1,4,1,1,2,1,1,6,1,1,4,1,1,10,1,1,2,1,1,12,1,1,6,1,1,16,1,
1,4,1,1,18,1,1,10,1,1,22,1,1,2,1,1,28,1,...
All [primes minus 1] will appear, of course -- and will be the only
even terms of the sequence; the building process is quite visible.
Best,
É.
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