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A125158 The fractal sequence associated with A125150. 1


%S 1,1,2,1,3,4,2,1,5,3,6,4,7,2,8,1,9,5,10,11,3,6,12,13,4,7,14,2,15,16,8,

%T 1,17,18,9,19,5,20,10,21,11,3,22,6,23,24,12,25,13,4,26,27,7,28,14,2,

%U 29,30,15,31,16,32,8,1,33,34,17,35,18,36,9,37,19,38,5,39,20,40,10,41,21,42,11

%N The fractal sequence associated with A125150.

%C 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).

%D 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.

%H C. Kimberling, <a href="http://faculty.evansville.edu/ck6/integer/fractals.html">Fractal Sequences</a>.

%F a(n)=number of the row of array A125150 that contains n.

%e 1 is in row 1 of A125150; 2 in row 1; 3 in row 2;

%e 4 in row 1; 5 in row 3; 6 in row 4, so the fractal

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

%Y Cf. A125150.

%K nonn

%O 1,3

%A _Clark Kimberling_, Nov 21 2006

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Last modified March 5 16:12 EST 2021. Contains 341825 sequences. (Running on oeis4.)