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A132226
Placement sequence for the dense normalized fractal sequence A132224.
2
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, 3, 2, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 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
OFFSET
1,2
LINKS
Clark Kimberling, Self-Containing Sequences, Selection Functions, and Parasequences, J. Int. Seq. Vol. 25 (2022), Article 22.2.1.
FORMULA
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.
EXAMPLE
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.
MAPLE
A132226 := proc(n)
a24r := A132224_row(n) ;
member(n, a24r, 'a') ;
a;
end proc:
seq(A132226(n), n=1..20) ; # R. J. Mathar, May 08 2016
CROSSREFS
Sequence in context: A011153 A214750 A317585 * A197702 A075861 A205706
KEYWORD
nonn
AUTHOR
Clark Kimberling, Aug 14 2007
EXTENSIONS
a(80) corrected by R. J. Mathar, May 08 2016
STATUS
approved