[seqfan] Re: Nice kind of A030067 (corr)

[Eric Angelini]

Read :

« In other words: underline all terms of EVEN rank in S;
these rebuild S itself; an underlined term is the ab-
solute difference of its two immediate neighbours. »

Sorry,
Best,
E.

 

-----Message d'origine-----
De : seqfan-bounces at list.seqfan.eu [mailto:seqfan-bounces at list.seqfan.eu] De la part de Eric Angelini
Envoyé : vendredi 30 avril 2010 10:39
À : seqfan at seqfan.eu
Objet : [seqfan] Nice kind of A030067


Hello SeqFans,

The "semi-Fibonacci numbers" are there:
http://www.research.att.com/~njas/sequences/A030067

If you drop the increasing constraint (of the odd rank
terms) you'll get S:

S=1,1,2,1,1,2,3,1,2,1,1,2,3,3,6,1,5,2,3,1,2,1,1,2,3,3,6,3,3,6,9,1,8,5,3,2,...

Which is kind of selfdescribing:

"The succession of the absolute differences between 
odd rank terms is the sequence itself"

In other words: underline all terms of odd rank in S;
these rebuild S itself; an underlined term is the ab-
solute difference of its two immediate neighbours.

The sequence will show every integer.

S was build with the interdiction of having a zero. If
you allow zero in S you'll get T, which is rather dull:

T=1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,...

Best,
É.


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