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Let y = m/GK(k), where m and k vary over the positive integers and GK(k)=log(1+1/(k*(k+2)))/log(2) is the Gauss-Kuzmin distribution of k. Sort the y values by size and number them consecutively by n. This sequence gives the values of m in order by n.
2

%I #6 Dec 30 2023 16:46:51

%S 1,2,1,3,4,1,2,5,6,7,1,3,8,2,9,4,10,1,11,12,5,13,3,1,14,2,6,15,16,17,

%T 7,4,18,1,19,8,20,2,21,3,9,22,5,23,1,24,10,25,26,6,11,27,2,28,4,1,29,

%U 12,30,3,31,7,13,32,33,34,14,1,35,5,8,36,2,15,37,38,39,16,40,9,4,41,1,17,3

%N Let y = m/GK(k), where m and k vary over the positive integers and GK(k)=log(1+1/(k*(k+2)))/log(2) is the Gauss-Kuzmin distribution of k. Sort the y values by size and number them consecutively by n. This sequence gives the values of m in order by n.

%Y Cf. A084576-A084578, A084580-A084587.

%K nonn

%O 1,2

%A _Paul D. Hanna_, May 31 2003