A125160 - OEIS

%I #4 Mar 30 2012 18:57:06

%S 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,

%T 7,21,22,23,8,24,25,26,9,27,3,28,29,10,30,4,31,32,11,33,34,12,35,36,

%U 13,37,38,14,39,40,2,41,42,43,15,44,45,46,5,16,47,48,17

%N The fractal sequence associated with A125152.

%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 A125152 that contains n.

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

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

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

%Y Cf. A125152.

%K nonn

%O 1,2

%A _Clark Kimberling_, Nov 21 2006