

A125159


The fractal sequence associated with A125151.


1



1, 1, 2, 3, 1, 4, 2, 5, 3, 1, 6, 4, 7, 2, 8, 5, 9, 3, 10, 11, 1, 6, 12, 13, 4, 7, 14, 2, 15, 16, 8, 17, 5, 18, 9, 19, 3, 20, 10, 21, 11, 1, 22, 6, 23, 24, 12, 25, 13, 4, 26, 27, 7, 28, 14, 2, 29, 30, 15, 31, 16, 32, 8, 33, 17, 34, 5, 35, 18, 36, 9, 37, 19, 38, 3, 39, 20, 40, 10, 41, 21, 42
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OFFSET

1,3


COMMENTS

If you delete the first occurrence of each n, the remaining sequence is the original sequence; thus the sequence contains itself as a proper subsequence (infinitely many times).


REFERENCES

Clark Kimberling, Interspersions and fractal sequences associated with fractions (c^j)/(d^k), Journal of Integer Sequences 10 (2007, Article 07.5.1) 18.


LINKS

Table of n, a(n) for n=1..82.
C. Kimberling, Fractal Sequences.


FORMULA

a(n)=number of the row of array A125151 that contains n.


EXAMPLE

1 is in row 1 of A125151; 2 in row 1; 3 in row 2;
4 in row 3; 5 in row 1; 6 in row 4, so the fractal
sequence starts with 1,1,2,3,1,4


CROSSREFS

Cf. A125151.
Sequence in context: A122196 A023117 A023127 * A179548 A023119 A118276
Adjacent sequences: A125156 A125157 A125158 * A125160 A125161 A125162


KEYWORD

nonn


AUTHOR

Clark Kimberling, Nov 21 2006


STATUS

approved



