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.

A301755 Decimal expansion of 3/8.

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%I A301755 #36 Feb 15 2023 10:06:44
%S A301755 3,7,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
%T A301755 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
%U A301755 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
%N A301755 Decimal expansion of 3/8.
%C A301755 This is the value of Zc which is the critical compression factor for Van der Waals gases.
%C A301755 The compression factor of a gas is defined as Z = p Vm/RT, where p is the pressure, Vm is the molar volume, T the temperature and R the gas constant.
%C A301755 The critical forms for Van der Waals gasses of pressure, temperature and volume are respectively: pc = a/(27b^2), Tc = 8a/(27R*b), Vc = 3b.
%C A301755 By plugging in the critical forms of the variables you will get Zc = pc Vc/RTc = 3/8.
%C A301755 Probability of intersection of 2 random chords in a circle, when their midpoints are selected randomly in the circle. See Solomon. - _Michel Marcus_, Mar 29 2018
%C A301755 The distance of the centroid of a unit-radius solid hemisphere from its base (the 3D analog of A232715). - _Amiram Eldar_, Jul 19 2022
%C A301755 The binomial transform is 3, 10, 22, 39,... A140066 without the leading 1. - _R. J. Mathar_, Feb 15 2023
%D A301755 Peter Atkins, Julio de Paula, Physical Chemistry 8th Ed., W. H. Freeman and Company, 2006, pp. 14-21.
%H A301755 Herbert Solomon, <a href="https://archive.org/stream/GeometricProbability/Geometric_Probability-Solomon#page/n161/mode/2up">Geometric Probability</a>, SIAM, 1978, p. 152.
%H A301755 Wikipedia, <a href="https://en.wikipedia.org/wiki/Compressibility_factor">Compressibility factor</a>.
%H A301755 Wikipedia, <a href="https://en.wikipedia.org/wiki/Van_der_Waals_equation">Van der Waals equation</a>.
%e A301755 0.3750000...
%t A301755 First@ RealDigits[N[3/8, 105]] (* _Michael De Vlieger_, May 15 2018 *)
%o A301755 (PARI) my(x=3/8); for(k=1, 100, my(d=floor(x)); x=(x-d)*10; k>1 && print1(d, ", ")) \\ _Felix Fröhlich_, Mar 28 2018
%Y A301755 Cf. A232715.
%K A301755 nonn,easy,cons
%O A301755 0,1
%A A301755 _Natan Arie Consigli_, Mar 26 2018