[seqfan] A self-building sequence with the help of Pi

Eric Angelini Eric.Angelini at kntv.be
Mon Aug 9 17:01:35 CEST 2010


Hello SeqFans,

(in full color here):
http://www.cetteadressecomportecinquantesignes.com/SelfPiDecim.htm

This is A000796 (decimal expansion of Pi):
 
3, 1, 4, 1, 5, 9, 2, 6, 5, 3, 5, 8, 9, 7, 9, 3, 2, 3, 8, 4, 6, 2, 6, 4, 3, 3, 8, 3, 2, 7, 9, 5, 0, 2, 8, 8, 4, 1, 9, 7, 1, 6, 9, 3, 9, 9, 3, 7, 5, 1, 0, 5, 8, 2, 0, 9, 7, 4, 9, 4, 4, 5, 9, 2, 3, 0, 7, 8, 1, 6, 4, 0, 6, 2, 8, 6, 2, 0, 8, 9, 9, 8, 6, 2, 8, 0, 3, 4, 8, 2, 5, 3, 4, 2, 1, 1, 7, 0, 6, 7, ...
 
And this is the same sequence, replacing the nth digit above
by the a[60+a(n)]th digit herunder:
 
5, 9, 1, 9, 2, 3, 4, 10, 2, 5, 2, 8, 3, 7, 3, 5, 4, 5, 8, 1, 10, 4, 10, 1, 5, 5, 8, 5, 4, 7, 3, 2, 6, 4, 8, 8, 1, 9, 3, 7, 9, 10, 3, 5, 3, 3, 5, 7, 2, 9, 6, 2, 8, 4, 6, 3, 7, 1, 3, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 1, 6, 10, 4, 8, 10, 4, 6, 8, 3, 3, 8, 10, 4, 8, 6, 5, 1, 8, 4, 2, 5, 1, 4, 9, 9, 7, 6, 10 ,7 ,3 , ...
 
The fun (?) part being that you have to use the second sequence
to... build the second sequence!
 
Everything becomes obvious when you consider this presentation
(with n clearly visible):

(...)
[see link]

Best,
É.





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