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The k-sequence associated with A125151.
1

%I #7 Sep 19 2019 09:03:59

%S 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,

%T 21,38,43,31,48,24,41,17,46,22,39,15,44,20,49,78,13,42,18,88,35,52,93

%N The k-sequence associated with A125151.

%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(2,3,1) at A125151 as follows: row m consists of numbers of the form Floor[(2^p)/(3^k)] for k=k(m).

%e The pairs (j,k) for the first six rows are (2,1), (5,2), (7,3), (9,4), (11,5), (13,6).

%e 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)].

%Y Cf. A125151.

%K nonn

%O 1,2

%A _Clark Kimberling_, Nov 21 2006, corrected Nov 24 2006