OFFSET
1,1
LINKS
D. H. Bailey, J. M. Borwein, R. E. Crandall, Advances in the theory of box integrals Math. Comp. 79 (2010), 1839-1866, p. 24.
Eric Weisstein's MathWorld, Square Line Picking
FORMULA
Integral over a unit square of 1/sqrt((r1-q1)^2 + (r2-q2)^2) dr1 dr2 dq1 dq2 = 4/3 - 4*sqrt(2)/3 + 4*log(1 + sqrt(2)).
EXAMPLE
2.97320959824737870252818566763957179801974547921061 ...
MATHEMATICA
RealDigits[4/3 - 4*Sqrt[2]/3 + 4*Log[1 + Sqrt[2]], 10, 105] // First
CROSSREFS
KEYWORD
AUTHOR
Jean-François Alcover, Jan 26 2015
STATUS
approved