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Placement sequence for the dense normalized fractal sequence A132224.
2

%I #11 Feb 02 2022 10:36:43

%S 1,2,3,2,5,4,3,2,9,8,7,6,5,4,3,2,17,16,15,14,13,12,11,10,9,8,7,6,5,4,

%T 3,2,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,

%U 12,11,10,9,8,7,6,5,4,3,2,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49

%N Placement sequence for the dense normalized fractal sequence A132224.

%H R. J. Mathar, <a href="/A132226/b132226.txt">Table of n, a(n) for n = 1..1000</a>

%H Clark Kimberling, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL25/Kimberling/kimber16.html"> Self-Containing Sequences, Selection Functions, and Parasequences</a>, J. Int. Seq. Vol. 25 (2022), Article 22.2.1.

%F For n>1, in the n-th segment of A132224 the only number not also in the (n-1)st segment is n. a(n) is the position of n in the n-th segment of A132224. The terms after the first two are formed by segments of consecutive integers: 3,2, then 5,4,3,2, then 9,8,7,6,5,4,3,2, etc.

%e The first 7 successive segments of A132224 are 1, 12, 123, 1423, 14235, 142635, 1472635, from which we read the positions of 1,2,3,4,5,6,7 as 1,2,3,2,5,4,3.

%p A132226 := proc(n)

%p a24r := A132224_row(n) ;

%p member(n,a24r,'a') ;

%p a;

%p end proc:

%p seq(A132226(n),n=1..20) ; # _R. J. Mathar_, May 08 2016

%Y Cf. A132223, A132224.

%K nonn

%O 1,2

%A _Clark Kimberling_, Aug 14 2007

%E a(80) corrected by _R. J. Mathar_, May 08 2016