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 A200439 #17 Feb 15 2025 15:56:10
%S A200439 2,7,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,
%T A200439 3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,
%U A200439 3,1,3,1,3,1,3
%N A200439 Decimal expansion of constant arising in clubbed binomial approximation for the lightbulb process.
%C A200439 In the so-called lightbulb process, on days r = 1, ..., n, out of n lightbulbs, all initially off, exactly r bulbs selected uniformly and independent of the past have their status changed from off to on, or vice versa. With W_n the number of bulbs on at the terminal time n and C_n a suitable clubbed binomial distribution, d_{TV}(W_n,C_n) <= 2.7314 sqrt{n} e^{-(n+1)/3} for all n >= 1.
%C A200439 This is the value of the function g_1(9) after eq (16) of the preprint.
%H A200439 Larry Goldstein, Aihua Xia, <a href="http://arxiv.org/abs/1111.3984">Clubbed Binomial Approximation for the Lightbulb Process</a>, arXiv:1111.3984v1 [math.PR], Nov 16, 2011.
%e A200439 2.731313... = 1352/495.
%o A200439 (PARI) 1352/495. \\ _Charles R Greathouse IV_, Nov 29 2011
%Y A200439 Essentially the same as A176040, A153284 and A010684.
%K A200439 nonn,cons
%O A200439 1,1
%A A200439 _Jonathan Vos Post_, Nov 17 2011
%E A200439 Corrected by _R. J. Mathar_, Nov 29 2011