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5, 0, 7, 8, 3, 3, 9, 2, 2, 8, 6, 8, 4, 3, 8, 3, 9, 2, 1, 8, 9, 0, 4, 1, 8, 4, 0, 7, 2, 2, 0, 7, 6, 3, 7, 4, 2, 4, 6, 2, 1, 8, 4, 3, 3, 4, 3, 2, 6, 0, 0, 9, 2, 9, 5, 3, 6, 6, 3, 9, 2, 7, 5, 0, 3, 5, 1, 5, 2, 2, 5, 8, 0, 8, 9, 7, 1, 0, 8, 6, 1, 8, 3, 6, 9, 0, 1, 5, 3, 8, 5, 5, 3, 5, 4, 4, 0, 7, 5, 4, 1, 8, 8, 8, 3
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,1
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LINKS
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Table of n, a(n) for n=0..104.
Dawei Lu and Zexi Song, Some new continued fraction estimates of the Somos' quadratic recurrence constant, Journal of Number Theory, Volume 155, October 2015, Pages 36-45.
Dawei Lu, Xiaoguang Wang, Ruiqing Xu, Some New Exponential-Function Estimates of the Somos' Quadratic Recurrence Constant, Results in Mathematics (2019) Vol. 74, No. 1, 6.
Eric Weisstein's World of Mathematics, Somos's Quadratic Recurrence Constant
Xu You, Di-Rong Chen, Improved continued fraction sequence convergent to the Somos' quadratic recurrence constant, Mathematical Analysis and Applications, Volume 436, Issue 1, 1 April 2016, Pages 513-520.
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FORMULA
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Sum_{n>=2} log(n)/2^n. - Jean-François Alcover, Apr 14 2014
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EXAMPLE
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0.507833922...
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MATHEMATICA
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First@ RealDigits[-Derivative[1, 0][PolyLog][0, 1/2], 10, 105] (* Eric W. Weisstein, edited by Michael De Vlieger, Jan 21 2019 *)
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PROG
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(PARI) suminf(n=2, log(n)>>n) \\ Charles R Greathouse IV, Sep 08 2014
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CROSSREFS
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Sequence in context: A200400 A190147 A108745 * A155827 A244045 A084248
Adjacent sequences: A114121 A114122 A114123 * A114125 A114126 A114127
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KEYWORD
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nonn,cons
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AUTHOR
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Eric W. Weisstein, Feb 08 2006
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STATUS
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approved
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