login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A114124 Decimal expansion of logarithm of A112302. 1

%I

%S 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,

%T 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,

%U 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

%N Decimal expansion of logarithm of A112302.

%H Dawei Lu and Zexi Song, <a href="https://doi.org/10.1016/j.jnt.2015.03.013">Some new continued fraction estimates of the Somos' quadratic recurrence constant</a>, Journal of Number Theory, Volume 155, October 2015, Pages 36-45.

%H Dawei Lu, Xiaoguang Wang, Ruiqing Xu, <a href="https://doi.org/10.1007/s00025-018-0928-0">Some New Exponential-Function Estimates of the Somos' Quadratic Recurrence Constant</a>, Results in Mathematics (2019) Vol. 74, No. 1, 6.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/SomossQuadraticRecurrenceConstant.html">Somos's Quadratic Recurrence Constant</a>

%H Xu You, Di-Rong Chen, <a href="https://doi.org/10.1016/j.jmaa.2015.12.013">Improved continued fraction sequence convergent to the Somos' quadratic recurrence constant</a>, Mathematical Analysis and Applications, Volume 436, Issue 1, 1 April 2016, Pages 513-520.

%F Sum_{n>=2} log(n)/2^n. - _Jean-Fran├žois Alcover_, Apr 14 2014

%e 0.507833922...

%t First@ RealDigits[-Derivative[1, 0][PolyLog][0, 1/2], 10, 105] (* _Eric W. Weisstein_, edited by _Michael De Vlieger_, Jan 21 2019 *)

%o (PARI) suminf(n=2,log(n)>>n) \\ _Charles R Greathouse IV_, Sep 08 2014

%K nonn,cons

%O 0,1

%A _Eric W. Weisstein_, Feb 08 2006

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 19 19:06 EST 2020. Contains 332047 sequences. (Running on oeis4.)