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Continued fraction expansion of 2*Pi/ln(2).

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9, 15, 2, 4, 1, 1, 1, 1, 2, 2, 3, 1, 1, 1, 1, 3, 4, 1, 1, 1, 1, 24, 1, 2, 1, 1, 1, 20, 1, 2, 3, 6, 1, 1, 2, 49, 11, 3, 4, 2, 2, 2, 1, 6, 1, 11, 1, 1, 3, 29, 16, 1, 1, 5, 1, 9, 2, 2, 1, 17, 1, 1, 1, 1, 2, 1, 9, 1, 1, 11, 1, 12, 2, 12, 2, 2, 168, 1, 5, 1, 5, 1, 1, 1, 1, 6, 1, 2, 27, 1, 1, 1, 2, 1, 16, 3, 9, 4 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`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.`
	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.`
	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`
	EXAMPLE	`9.0647202836543...`
	MATHEMATICA	`ContinuedFraction[2*Pi/Log[2], 105] [[1]]`
	CROSSREFS	`Cf. A000796 = Pi, A002162 = ln(2), A019692 = 2*Pi.` `Sequence in context: A139055 A079625 A027009 this_sequence A073920 A130119 A058957` `Adjacent sequences: A131221 A131222 A131223 this_sequence A131225 A131226 A131227`
	KEYWORD	`cofr,nonn`
	AUTHOR	`Jonathan Sondow (jsondow(AT)alumni.princeton.edu), Jun 19 2007`

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Last modified December 2 15:58 EST 2008. Contains 150992 sequences.

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