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A114124 Decimal expansion of logarithm of A112302. 1
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)
OFFSET

0,1

LINKS

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.

FORMULA

Sum_{n>=2} log(n)/2^n. - Jean-François Alcover, Apr 14 2014

EXAMPLE

0.507833922...

MATHEMATICA

First@ RealDigits[-Derivative[1, 0][PolyLog][0, 1/2], 10, 105] (* Eric W. Weisstein, edited by Michael De Vlieger, Jan 21 2019 *)

PROG

(PARI) suminf(n=2, log(n)>>n) \\ Charles R Greathouse IV, Sep 08 2014

CROSSREFS

Sequence in context: A200400 A190147 A108745 * A155827 A244045 A084248

Adjacent sequences:  A114121 A114122 A114123 * A114125 A114126 A114127

KEYWORD

nonn,cons

AUTHOR

Eric W. Weisstein, Feb 08 2006

STATUS

approved

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Last modified January 24 16:41 EST 2020. Contains 331208 sequences. (Running on oeis4.)