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 A133362 Decimal expansion of 1/(2 log 2). 0
 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, 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, 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 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS PrimePi(n) = A000720(n) => (log n)/(2 log 2) for all n > 2. An elegant proof is given in Kontoyiannis. Base 4 logarithm of the natural logarithm base. - Alonso del Arte, Aug 31 2014 REFERENCES 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. LINKS Ioannis Kontoyiannis, Some information-theoretic computations related to the distribution of prime numbers, arXiv:0710.4076 [cs.IT], 2007. EXAMPLE 1/(2 log 2) ~ 1 / 1.3862943611198906188 ~ 0.72134752044448170368. The digits of the decimal expansion of 2 log 2 are given by A016627. MAPLE Digits:=100: evalf(0.5/log(2)); # R. J. Mathar, Nov 09 2007 MATHEMATICA RealDigits[1/(2Log[2]), 10, 128][[1]] (* Alonso del Arte, Aug 31 2014 *) PROG (PARI) 1/log(4) \\ Charles R Greathouse IV, Mar 24 2016 CROSSREFS Cf. A000720, A016627. Sequence in context: A191856 A220862 A198229 * A317925 A010140 A222067 Adjacent sequences:  A133359 A133360 A133361 * A133363 A133364 A133365 KEYWORD cons,easy,nonn AUTHOR Jonathan Vos Post, Oct 26 2007 EXTENSIONS More terms from R. J. Mathar, Nov 09 2007 STATUS approved

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Last modified May 29 20:42 EDT 2020. Contains 334710 sequences. (Running on oeis4.)