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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
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..
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 A365327 A125933
KEYWORD
nonn
AUTHOR
Clark Kimberling, Nov 21 2006
STATUS
approved