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A125157 The k-sequence associated with A125153. 1

%I #7 Sep 19 2019 09:03:40

%S 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,

%T 47,20,58,50,23,61,34,72,45,64,37,56,29,48,21,40,59,32,51,70,43,62,35

%N The k-sequence associated with A125153.

%C A permutation of the positive integers.

%D 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.

%F 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).

%e The pairs (j,k) for the first six rows are

%e (1,1), (2,2), (3,3), (4,4), (5,5), (7,8).

%e First term in row m is Floor[(3^j(m))/(2^k(m))],

%e so for m=1,2,3, the first terms are

%e 1=[(3^1)/(2^1)], 2=[(3^2)/(2^2)], 3=[(3^3)/(2^3)].

%Y Cf. A125153.

%K nonn

%O 1,2

%A _Clark Kimberling_, Nov 21 2006

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Last modified April 18 18:58 EDT 2024. Contains 371781 sequences. (Running on oeis4.)