OFFSET
1,3
LINKS
Eda Cesaratto, Alain Plagne and Brigitte Vallée, On the non-randomness of modular arithmetic progressions: a solution to a problem by V. I. Arnold, Discrete Mathematics and Theoretical Computer Science Proceedings, Fourth Colloquium on Mathematics and Computer Science Algorithms, Trees, Combinatorics and Probabilities (2006), p. 20.
FORMULA
A = (1/log(2))*Integral_{1..2} (1/3)*(2/y + 2/y^2 - 1/y^3) + (y-1)*(1/(6*y) + 1/(6*y^2) - 1/(3*y^3)) dy.
A = 2/3 + 1/(4*log(2)).
EXAMPLE
1.027340426888907518506647836917139701023328155204913150200529...
MATHEMATICA
RealDigits[2/3 + 1/(4*Log[2]), 10, 102] // First
PROG
(PARI) 1/4/log(2)+2/3 \\ Charles R Greathouse IV, Apr 23 2015
CROSSREFS
KEYWORD
AUTHOR
Jean-François Alcover, Apr 23 2015
STATUS
approved