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A301755
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Decimal expansion of 3/8.
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0
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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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
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OFFSET
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0,1
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COMMENTS
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This is the value of Zc which is the critical compression factor for Van der Waals gases.
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.
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.
By plugging in the critical forms of the variables you will get Zc = pc Vc/RTc = 3/8.
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
The distance of the centroid of a unit-radius solid hemisphere from its base (the 3D analog of A232715). - Amiram Eldar, Jul 19 2022
The binomial transform is 3, 10, 22, 39,... A140066 without the leading 1. - R. J. Mathar, Feb 15 2023
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REFERENCES
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Peter Atkins, Julio de Paula, Physical Chemistry 8th Ed., W. H. Freeman and Company, 2006, pp. 14-21.
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LINKS
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EXAMPLE
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0.3750000...
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MATHEMATICA
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PROG
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(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
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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