A125155 The k-sequence associated with A125151.

1, 2, 3, 4, 5, 6, 9, 12, 10, 8, 25, 11, 16, 26, 7, 36, 29, 34, 27, 32, 37, 30, 47, 23, 40, 33, 21, 38, 43, 31, 48, 24, 41, 17, 46, 22, 39, 15, 44, 20, 49, 78, 13, 42, 18, 88, 35, 52, 93

Offset

1,2

Comments

A permutation of the positive integers.

References

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.

Links

Table of n, a(n) for n=1..49.

Formula

This sequence k(m) is associated with the array T(2,3,1) at A125151 as follows: row m consists of numbers of the form Floor[(2^p)/(3^k)] for k=k(m).

Example

The pairs (j,k) for the first six rows are (2,1), (5,2), (7,3), (9,4), (11,5), (13,6).
First term in row m is Floor[(2^j(m))/(3^k(m))], so for m=1,2,3, the first terms are 1=[(2^2)/(3^1)], 3=[(2^5)/(3^2)], 4=[(2^7)/(3^3)].

Crossrefs

Cf. A125151.

Sequence in context: A299297 A325323 A331016 * A365416 A352805 A091179

Adjacent sequences: A125152 A125153 A125154 * A125156 A125157 A125158

Keyword

nonn

Author

Clark Kimberling, Nov 21 2006, corrected Nov 24 2006

Status

approved