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

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

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

Table of n, a(n) for n=0..104.

Ioannis Kontoyiannis, Some information-theoretic computations related to the distribution of prime numbers, arXiv:0710.4076 [cs.IT], 2007.

Index entries for transcendental numbers

Example

0.7213475204444817036799623405009460...

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 (reciprocal).

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