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A359532
Decimal expansion of 2*log(2)/Pi.
1
4, 4, 1, 2, 7, 1, 2, 0, 0, 3, 0, 5, 3, 0, 3, 1, 8, 6, 7, 9, 2, 9, 1, 2, 8, 6, 4, 2, 3, 5, 9, 9, 5, 3, 8, 1, 9, 6, 5, 3, 7, 9, 4, 9, 7, 4, 5, 9, 3, 1, 0, 9, 4, 0, 9, 7, 8, 5, 2, 6, 4, 6, 7, 4, 1, 4, 2, 4, 3, 5, 3, 4, 0, 9, 3, 3, 7, 3, 3, 6, 4, 9, 9, 5, 9, 8, 6, 2, 2, 3, 7, 0, 7, 9, 3, 5, 1, 1
OFFSET
0,1
LINKS
John M. Campbell, Applications of a class of transformations of complex sequences, arXiv:2212.13305 [math.NT], 2022. See pp. 2, 8.
FORMULA
Equals 2*A284983.
Equals Sum_{i>=0} (-1/64)^i*binomial(2*i, i)^3*(4*i + 1)*H_{2*i}, where H_m is the m-th harmonic number (negated).
EXAMPLE
0.441271200305303186792912864235995381965...
MATHEMATICA
First[RealDigits[N[2Log[2]/Pi, 98]]]
KEYWORD
nonn,cons
AUTHOR
Stefano Spezia, Jan 04 2023
STATUS
approved