A132226 Placement sequence for the dense normalized fractal sequence A132224.

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

R. J. Mathar, Table of n, a(n) for n = 1..1000

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

Cf. A132223, A132224.

Sequence in context: A011153 A214750 A317585 * A197702 A075861 A205706

Adjacent sequences: A132223 A132224 A132225 * A132227 A132228 A132229

Keyword

nonn

Author

Clark Kimberling, Aug 14 2007

Extensions

a(80) corrected by R. J. Mathar, May 08 2016

Status

approved