Language
Ruby
Compiler
ruby 2.6.5
Options
$ ruby prog.rb n= 6, E(n)= 14.70, Approx[E(n)]= 14.21, E(n)-Approx[E(n)]=0.486149, Harmonic=2.45, log(n)=1.79, gamma=0.658241
n= 10, E(n)= 29.29, Approx[E(n)]= 28.80, E(n)-Approx[E(n)]=0.491675, Harmonic=2.93, log(n)=2.30, gamma=0.626383
n= 20, E(n)= 71.95, Approx[E(n)]= 71.46, E(n)-Approx[E(n)]=0.495834, Harmonic=3.60, log(n)=3.00, gamma=0.602007
n= 50, E(n)= 224.96, Approx[E(n)]= 224.46, E(n)-Approx[E(n)]=0.498333, Harmonic=4.50, log(n)=3.91, gamma=0.587182
n= 100, E(n)= 518.74, Approx[E(n)]= 518.24, E(n)-Approx[E(n)]=0.499167, Harmonic=5.19, log(n)=4.61, gamma=0.582207
n= 200, E(n)= 1175.61, Approx[E(n)]= 1175.11, E(n)-Approx[E(n)]=0.499583, Harmonic=5.88, log(n)=5.30, gamma=0.579714
n= 500, E(n)= 3396.41, Approx[E(n)]= 3395.91, E(n)-Approx[E(n)]=0.499833, Harmonic=6.79, log(n)=6.21, gamma=0.578215
n= 1000, E(n)= 7485.47, Approx[E(n)]= 7484.97, E(n)-Approx[E(n)]=0.499917, Harmonic=7.49, log(n)=6.91, gamma=0.577716
n= 2000, E(n)=16356.74, Approx[E(n)]=16356.24, E(n)-Approx[E(n)]=0.499958, Harmonic=8.18, log(n)=7.60, gamma=0.577466
n= 5000, E(n)=45472.54, Approx[E(n)]=45472.04, E(n)-Approx[E(n)]=0.499983, Harmonic=9.09, log(n)=8.52, gamma=0.577316
n=10000, E(n)=97876.06, Approx[E(n)]=97875.56, E(n)-Approx[E(n)]=0.499992, Harmonic=9.79, log(n)=9.21, gamma=0.577266
Exit Code:
0