[seqfan] Re: Interspersion/fractal with prime sums

[franktaw at netscape.net]

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.