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.

1, 3, 6, 11, 18, 24, 34, 45, 56, 68, 83, 98, 117, 135, 157, 175, 201, 223, 250, 275, 304, 335, 365, 397, 432, 469, 504, 540, 583, 620, 666, 709, 754, 801, 847, 898, 946, 998, 1055, 1103

Offset

1,2

Comments

Compare to A084587.

Links

Table of n, a(n) for n=1..40.

Example

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;
n=11: y=1/GK(4)=16.8659; n=18: y=1/GK(5)=24.6050; n=24: y=1/GK(6)=33.6164;
n=34: y=1/GK(7)=44.0139; n=45: y=1/GK(8)=55.7976; n=56: y=1/GK(9)=68.9675;
n=68: y=1/GK(10)=83.5237.

Crossrefs

Cf. A084577-A084587.

Sequence in context: A310119 A310120 A310121 * A024667 A363056 A373329

Adjacent sequences: A084573 A084574 A084575 * A084577 A084578 A084579

Keyword

nonn

Author

Paul D. Hanna, May 31 2003

Status

approved