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A131223
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Decimal expansion of 2*Pi/log(2).
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3
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9, 0, 6, 4, 7, 2, 0, 2, 8, 3, 6, 5, 4, 3, 8, 7, 6, 1, 9, 2, 5, 5, 3, 6, 5, 8, 9, 1, 4, 3, 3, 3, 3, 3, 6, 2, 0, 3, 4, 3, 7, 2, 2, 9, 3, 5, 4, 4, 7, 5, 9, 1, 1, 6, 8, 3, 7, 2, 0, 3, 3, 0, 9, 5, 8, 8, 1, 2, 0, 1, 9, 0, 7, 4, 4, 2, 6, 1, 0, 2, 0, 4, 5, 1, 8, 1, 6, 7, 7, 5, 9, 2, 0, 8, 0, 3, 2, 1, 7, 9, 3, 0, 6, 1
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OFFSET
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1,1
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COMMENTS
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Imaginary part of the first complex zero of the alternating zeta function. The pair a=1, b=2*Pi/log(2) is a counterexample to the incorrect reformulation of the Riemann Hypothesis in J. Havil's book Gamma: Exploring Euler's Constant. See Sondow (2012).
Also the Bekenstein bound in natural (Planck) units: the information (in bits) contained in a system with mass m and radius r is at most this constant times m*r. - Charles R Greathouse IV, Aug 19 2015
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REFERENCES
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J. Havil, Gamma: Exploring Euler's Constant, Princeton Univ. Press, 2003, p. 207.
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LINKS
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EXAMPLE
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9.0647202836543...
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MATHEMATICA
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RealDigits[ N[ 2*Pi/Log[2], 105]] [[1]]
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PROG
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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