A084576 - OEIS

A084576

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 n when m=1.

%I #6 Dec 30 2023 16:46:14

%S 1,3,6,11,18,24,34,45,56,68,83,98,117,135,157,175,201,223,250,275,304,

%T 335,365,397,432,469,504,540,583,620,666,709,754,801,847,898,946,998,

%U 1055,1103

%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 n when m=1.

%C Compare to A084587.

%e At n=1: y=1/GK(1)=2.4094; n=3: y=1/GK(2)=5.8849; n=6: y=1/GK(3)=10.7400;

%e n=11: y=1/GK(4)=16.8659; n=18: y=1/GK(5)=24.6050; n=24: y=1/GK(6)=33.6164;

%e n=34: y=1/GK(7)=44.0139; n=45: y=1/GK(8)=55.7976; n=56: y=1/GK(9)=68.9675;

%e n=68: y=1/GK(10)=83.5237.

%Y Cf. A084577-A084587.

%K nonn

%O 1,2

%A _Paul D. Hanna_, May 31 2003