

A125161


The fractal sequence associated with A125153.


1



1, 2, 3, 1, 4, 2, 5, 6, 7, 3, 8, 9, 1, 10, 4, 11, 12, 13, 14, 2, 15, 5, 16, 17, 6, 18, 19, 7, 20, 3, 21, 22, 23, 8, 24, 25, 26, 9, 27, 1, 28, 29, 10, 30, 4, 31, 32, 11, 33, 34, 12, 35, 36, 13, 37, 38, 14, 39, 40, 2, 41, 42, 43, 15, 44, 45, 46, 5, 16, 47, 48, 17
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OFFSET

1,2


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..72.
C. Kimberling, Fractal Sequences.


FORMULA

a(n)=number of the row of array A125153 that contains n.


EXAMPLE

1 is in row 1 of A125153; 2 in row 2; 3 in row 3;
4 in row 1; 5 in row 4; 6 in row 2, so the fractal
sequence starts with 1,2,3,1,4,2


CROSSREFS

Cf. A125153.
Sequence in context: A336879 A340313 A120873 * A331791 A125933 A255054
Adjacent sequences: A125158 A125159 A125160 * A125162 A125163 A125164


KEYWORD

nonn


AUTHOR

Clark Kimberling, Nov 21 2006


STATUS

approved



