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A133362 Decimal expansion of 1/(2 log 2). 0

%I

%S 7,2,1,3,4,7,5,2,0,4,4,4,4,8,1,7,0,3,6,7,9,9,6,2,3,4,0,5,0,0,9,4,6,0,

%T 6,8,7,1,3,3,2,2,9,7,7,0,7,6,4,9,2,9,6,7,0,6,7,7,2,4,7,0,3,4,6,5,5,5,

%U 4,6,0,9,5,9,0,5,9,2,5,3,9,9,4,2,7,6,3,3,1,1,4,4,6,7,5,3,1,7,2,2,4,8,4,9,8

%N Decimal expansion of 1/(2 log 2).

%C PrimePi(n) = A000720(n) => (log n)/(2 log 2) for all n > 2. An elegant proof is given in Kontoyiannis.

%C Base 4 logarithm of the natural logarithm base. - _Alonso del Arte_, Aug 31 2014

%D Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.7 Lengyel's constant p. 319 and Section 5.11 Feller's coin tossing p. 341.

%H Ioannis Kontoyiannis, <a href="http://arXiv.org/abs/0710.4076">Some information-theoretic computations related to the distribution of prime numbers</a>, arXiv:0710.4076 [cs.IT], 2007.

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>

%e 1/(2 log 2) ~ 1 / 1.3862943611198906188 ~ 0.72134752044448170368. The digits of the decimal expansion of 2 log 2 are given by A016627.

%p Digits:=100: evalf(0.5/log(2)); # _R. J. Mathar_, Nov 09 2007

%t RealDigits[1/(2Log[2]), 10, 128][[1]] (* _Alonso del Arte_, Aug 31 2014 *)

%o (PARI) 1/log(4) \\ _Charles R Greathouse IV_, Mar 24 2016

%Y Cf. A000720, A016627.

%K cons,easy,nonn

%O 0,1

%A _Jonathan Vos Post_, Oct 26 2007

%E More terms from _R. J. Mathar_, Nov 09 2007

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Last modified July 12 11:25 EDT 2020. Contains 335658 sequences. (Running on oeis4.)