# [seqfan] Re: Interspersion/fractal with prime sums

Eric Angelini Eric.Angelini at kntv.be
Mon May 3 18:52:48 CEST 2010

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Thank you, Franklin -- let's forget this no-name sequence!
Best,
É.

-----Message d'origine-----
De : seqfan-bounces at list.seqfan.eu [mailto:seqfan-bounces at list.seqfan.eu]
De la part de franktaw at netscape.net
Envoyé : dimanche 2 mai 2010 9:27
À : seqfan at list.seqfan.eu
Objet : [seqfan] Re: Interspersion/fractal with prime sums

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.

-----Original Message-----
From: Eric Angelini <Eric.Angelini at kntv.be>

Hello SeqFans,

I guess the sequence hereunder is an "interspersion" or a "fractal"

"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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