A247677 - OEIS

A247677

Decimal expansion of the integral over the square [0,Pi]x[0,Pi] of log(2-cos(x)-cos(y)) dx dy.

4, 6, 6, 9, 2, 7, 4, 6, 6, 2, 5, 7, 5, 5, 2, 8, 0, 6, 2, 2, 6, 2, 8, 4, 1, 5, 1, 2, 1, 3, 2, 0, 9, 5, 1, 2, 9, 1, 5, 9, 6, 3, 8, 5, 5, 2, 0, 2, 2, 8, 0, 2, 7, 8, 7, 7, 2, 4, 6, 5, 1, 3, 6, 0, 1, 0, 2, 3, 2, 8, 5, 1, 8, 6, 4, 4, 3, 9, 5, 0, 4, 3, 3, 0, 9, 4, 7, 5, 1, 5, 5, 0, 3, 8, 9, 1, 5, 9, 4, 2, 3, 7, 6, 5

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OFFSET

1,1

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..10000

D. H. Bailey, J. M. Borwein, Highly Parallel, High-Precision Numerical Integration p. 9. (2005) Lawrence Berkeley National Laboratory

FORMULA

Equals 4*Pi*Catalan - Pi^2*log(2).

EXAMPLE

4.6692746625755280622628415121320951291596385520228...

MATHEMATICA

RealDigits[4*Pi*Catalan - Pi^2*Log[2], 10, 104] // First