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A125160 The fractal sequence associated with A125152. 1
1, 2, 1, 3, 4, 2, 5, 6, 1, 7, 8, 9, 3, 10, 4, 11, 12, 13, 14, 2, 15, 5, 16, 17, 6, 18, 1, 19, 20, 7, 21, 22, 23, 8, 24, 25, 26, 9, 27, 3, 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 (list; graph; refs; listen; history; text; internal format)
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) 1-8.

LINKS

Table of n, a(n) for n=1..72.

C. Kimberling, Fractal Sequences.

FORMULA

a(n)=number of the row of array A125152 that contains n.

EXAMPLE

1 is in row 1 of A125152; 2 in row 2; 3 in row 1;

4 in row 3; 5 in row 4; 6 in row 2, so the fractal

sequence starts with 1,2,1,3,4,2

CROSSREFS

Cf. A125152.

Sequence in context: A120874 A112382 A117384 * A009947 A166711 A026249

Adjacent sequences:  A125157 A125158 A125159 * A125161 A125162 A125163

KEYWORD

nonn

AUTHOR

Clark Kimberling, Nov 21 2006

STATUS

approved

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Last modified March 19 13:03 EDT 2019. Contains 321330 sequences. (Running on oeis4.)