cp's OEIS Frontend

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.

A122914 Decimal expansion of (1 + log(2*Pi))/2, the entropy of the standard normal distribution.

This page as a plain text file.
%I A122914 #19 Jun 08 2022 03:20:17
%S A122914 1,4,1,8,9,3,8,5,3,3,2,0,4,6,7,2,7,4,1,7,8,0,3,2,9,7,3,6,4,0,5,6,1,7,
%T A122914 6,3,9,8,6,1,3,9,7,4,7,3,6,3,7,7,8,3,4,1,2,8,1,7,1,5,1,5,4,0,4,8,2,7,
%U A122914 6,5,6,9,5,9,2,7,2,6,0,3,9,7,6,9,4,7,4,3,2,9,8,6,3,5,9,5,4,1,9,7,6,2,2,0
%N A122914 Decimal expansion of (1 + log(2*Pi))/2, the entropy of the standard normal distribution.
%C A122914 For a normal distribution with standard deviation sigma, add log(sigma). - _Stanislav Sykora_, Jan 15 2017
%H A122914 Wikipedia, <a href="http://en.wikipedia.org/wiki/Normal_distribution">Normal distribution</a>.
%F A122914 Equals (1 + log(2*Pi))/2 = 1/2 - A075700 = (1 + A061444)/2.
%F A122914 Equals -zeta(0) - zeta'(0). - _Peter Luschny_, May 16 2020
%F A122914 Equals 1 + G'(1), where G(x) is the Barnes G-function. - _Amiram Eldar_, Jun 08 2022
%e A122914 1.4189385332046727417803297364056176398613974736377834128171515404827656959...
%t A122914 RealDigits[(1 + Log[2 Pi])/2, 10, 80]
%Y A122914 Partial quotients in A122915.
%Y A122914 Cf. A061444, A075700.
%K A122914 cons,easy,nonn
%O A122914 1,2
%A A122914 Joseph Biberstine (jrbibers(AT)indiana.edu), Sep 18 2006
%E A122914 a(80) corrected by _Georg Fischer_, Jul 10 2021