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A131223
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Decimal expansion of 2*Pi/ln(2).
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0
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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
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Imaginary part of the first complex zero of the alternating zeta function. The pair a=1, b=2*Pi/ln(2) is a counterexample to the reformulation of the Riemann Hypothesis in J. Havil's book Gamma: Exploring Euler's Constant.
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REFERENCES
| J. Havil, Gamma: Exploring Euler's Constant, Princeton Univ. Press, 2003, p. 207.
J. Sondow, Zeros of the alternating zeta function on the line R(s)=1, Amer. Math. Monthly 110 (2003) 435-437.
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LINKS
| J. Sondow, Zeros of the alternating zeta function on the line R(s)=1
J. Sondow, A Counterexample to Havil's "Reformulation" of the Riemann Hypothesis
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EXAMPLE
| 9.0647202836543...
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MATHEMATICA
| RealDigits[ N[ 2*Pi/Log[2], 105]] [[1]]
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CROSSREFS
| Cf. A000796 = Pi, A002162 = ln(2), A019692 = 2*Pi.
Sequence in context: A019874 A197520 A068467 * A198213 A093766 A097674
Adjacent sequences: A131220 A131221 A131222 * A131224 A131225 A131226
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KEYWORD
| cons,nonn
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AUTHOR
| Jonathan Sondow (jsondow(AT)alumni.princeton.edu), Jun 19 2007
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