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A125157
The k-sequence associated with A125153.
1
1, 2, 3, 4, 5, 8, 11, 6, 9, 12, 15, 7, 18, 10, 13, 24, 16, 46, 19, 30, 41, 14, 52, 44, 17, 55, 47, 20, 58, 50, 23, 61, 34, 72, 45, 64, 37, 56, 29, 48, 21, 40, 59, 32, 51, 70, 43, 62, 35
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.
FORMULA
This sequence k(m) is associated with the array T(3,2,1) at A125153 as follows: row m consists of numbers of the form Floor[(3^p)/(2^k)] for k=k(m).
EXAMPLE
The pairs (j,k) for the first six rows are
(1,1), (2,2), (3,3), (4,4), (5,5), (7,8).
First term in row m is Floor[(3^j(m))/(2^k(m))],
so for m=1,2,3, the first terms are
1=[(3^1)/(2^1)], 2=[(3^2)/(2^2)], 3=[(3^3)/(2^3)].
CROSSREFS
Cf. A125153.
Sequence in context: A019997 A263875 A351702 * A093327 A361971 A186041
KEYWORD
nonn
AUTHOR
Clark Kimberling, Nov 21 2006
STATUS
approved