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A378967
Decimal expansion of 4*sqrt(2) - 6*sqrt(6)/Pi.
0
9, 7, 8, 6, 7, 3, 4, 4, 2, 0, 9, 0, 3, 2, 3, 5, 4, 7, 7, 7, 1, 5, 4, 6, 5, 9, 5, 1, 9, 9, 2, 5, 1, 7, 4, 8, 6, 1, 7, 8, 8, 5, 7, 0, 2, 3, 0, 8, 6, 3, 2, 9, 3, 0, 0, 5, 2, 8, 0, 9, 5, 4, 2, 0, 1, 9, 6, 5, 3, 4, 8, 4, 6, 9, 9, 9, 6, 0, 1, 7, 3, 4, 0, 8, 3, 5, 9, 6, 2, 6, 6, 4, 4, 2, 0, 5, 1, 0, 5, 6
OFFSET
0,1
REFERENCES
Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 5.4.1, p. 287.
FORMULA
Equals Sum_{i<>0} (-1)^(i+1)/(3*i^2 + i) (see Finch).
EXAMPLE
0.97867344209032354777154659519925174861788570230863...
MATHEMATICA
RealDigits[4Sqrt[2]-6Sqrt[6]/Pi, 10, 100][[1]]
CROSSREFS
KEYWORD
nonn,cons,easy,new
AUTHOR
Stefano Spezia, Dec 12 2024
STATUS
approved