A259284 Decimal expansion of log(2) + 1/3.

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

Offset: 1

Author

Charles R Greathouse IV, Jun 24 2015

Keywords

• nonn
• cons

Comments

Given a Poisson distribution with parameter lambda, the median of the distribution is between lambda - log(2) and lambda + 1/3 (both sharp). This constant gives the width of this interval. Note that log(2) + 1/3 >= 1 so there is always at least one integer in the range.

Examples

			1.026480513893278642...
		

Links

• K. P. Choi, On the medians of gamma distributions and an equation of Ramanujan, Proceedings of the American Mathematical Society 121:1 (May, 1994), pp. 245-251.
• Index entries for transcendental numbers

Crossrefs

Cf. A100045.

Programs

Mathematica

RealDigits[Log[2] + 1/3, 10, 100] [[1]] (* Vincenzo Librandi, Jun 25 2015 *)

PARI

log(2)+1/3