0,1

Limit as n increases without bound of the probability that n mod m is less than m/2, with m chosen uniformly at random from 1..n. (As usual, 0 <= n mod m < m.)

Table of n, a(n) for n=0..104.

Index entries for transcendental numbers

From Amiram Eldar, Aug 15 2020: (Start)

Equals Sum_{k>=1} 1/(2*k^2 + k).

Equals -Integral_{x=0..1} log(1-x^2) dx. (End)

0.61370563888010938116553575708364686384899973127949...

RealDigits[2 - Log[4], 10, 120][[1]]

(PARI) vecextract(eval(Vec(Str(2-log(4)))), "3..")

Sequence in context: A219552 A296476 A296504 * A074584 A195478 A259731

Adjacent sequences: A188856 A188857 A188858 * A188860 A188861 A188862

nonn,cons,easy

Charles R Greathouse IV, Apr 12 2011

approved