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 A375741 #9 Aug 28 2024 11:00:49
%S A375741 6,2,1,5,0,4,8,9,6,8,8,7,4,3,1,5,9,1,4,0,5,9,6,7,8,1,8,8,0,8,0,2,8,2,
%T A375741 7,3,1,2,7,0,7,8,8,5,1,1,5,8,5,3,4,2,9,4,0,7,0,2,8,0,6,9,9,4,5,3,1,1,
%U A375741 4,7,4,8,1,2,5,0,6,4,4,9,6,2,2,2,6,7,4,4,5,9,9,2,9,8,0,7,6,0,6,8
%N A375741 Decimal expansion of 6*Pi/(3*sqrt(3) + 8*Pi).
%C A375741 This constant expresses the expected proportion of individuals that belong to reciprocal nearest-neighbor relationship pairs in a population of random patterns over a plane.
%D A375741 E. C. Pielou, An Introduction to Mathematical Ecology, John Wiley & Sons, Inc. 1969. See pp. 121-122.
%H A375741 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%F A375741 Equals Integral_{x=0..oo} 2*Pi*x*exp(-x^2*(sqrt(3)/2+4*Pi/3)) dx. [Pielou, 1969]
%e A375741 0.62150489688743159140596781880802827312707885...
%t A375741 RealDigits[6Pi/(3Sqrt[3]+8Pi),10,100][[1]]
%Y A375741 Cf. A000796, A010482, A010527, A019692, A019699, A228719, A228824.
%K A375741 nonn,cons,easy
%O A375741 0,1
%A A375741 _Stefano Spezia_, Aug 26 2024