

A110963


Fractalisation of a fractal: of the Kimberling's sequence beginning with 1.


1



1, 1, 1, 1, 2, 1, 1, 1, 3, 2, 2, 1, 4, 1, 1, 1, 5, 3, 3, 2, 6, 2, 2, 1, 7, 4, 4, 1, 8, 1, 1, 1, 9, 5, 5, 3, 10, 3, 3, 2, 11, 6, 6, 2, 12, 2, 2, 1, 13, 7, 7, 4, 14, 4, 4
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OFFSET

0,5


COMMENTS

Selfdescriptive sequence: even terms are the sequence itself, odd terms (the skeleton of this sequence) are the terms of the Kimberling's sequence beginning with 1. Also: a(4n) = the natural numbers a(4n+1)= the Kimberling's sequence (beginning with 1) a(4n+2)= the Kimberling's sequence (beginning with 1) a(4n+3)= the sequence itself a(8n+1)=a(8n+2)= the natural numbers.


LINKS

Table of n, a(n) for n=0..54.
Clark Kimberling, Fractal sequences.


FORMULA

a(2n+1)=a(n)=a(4n+3) = terms of the sequence itself. a(2n)=a(4n+1)=a(4n+2) = terms of Kimberling's sequence (beginning with 1). a(4n)=a(8n+1)=a(8n+2)= n.


CROSSREFS

Cf. A110812, A110779, A110766. Equals A110962 + 1.
Sequence in context: A062842 A126805 A288003 * A106348 A161092 A029332
Adjacent sequences: A110960 A110961 A110962 * A110964 A110965 A110966


KEYWORD

base,easy,nonn,uned


AUTHOR

Alexandre Wajnberg, Sep 26 2005


STATUS

approved



