This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A259284 #29 May 15 2019 12:42:07 %S A259284 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, %T A259284 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, %U A259284 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 %N A259284 Decimal expansion of log(2) + 1/3. %C A259284 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. %H A259284 K. P. Choi, <a href="http://dx.doi.org/10.1090/S0002-9939-1994-1195477-8">On the medians of gamma distributions and an equation of Ramanujan</a>, Proceedings of the American Mathematical Society 121:1 (May, 1994), pp. 245-251. %H A259284 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a> %e A259284 1.026480513893278642... %t A259284 RealDigits[Log[2] + 1/3, 10, 100] [[1]] (* _Vincenzo Librandi_, Jun 25 2015 *) %o A259284 (PARI) log(2)+1/3 %Y A259284 Cf. A100045. %K A259284 nonn,cons %O A259284 1,3 %A A259284 _Charles R Greathouse IV_, Jun 24 2015