

A336274


Decimal expansion of the dimensionless coefficient of the Coulomb selfenergy of a uniformly charged threedimensional cube.


4



9, 4, 1, 1, 5, 6, 3, 2, 2, 1, 9, 4, 8, 3, 0, 0, 8, 0, 0, 5, 2, 8, 0, 0, 4, 1, 9, 4, 3, 4, 1, 8, 3, 7, 9, 3, 9, 2, 6, 2, 3, 1, 4, 4, 0, 1, 5, 5, 3, 5, 3, 9, 8, 0, 2, 7, 6, 4, 6, 6, 1, 5, 7, 2, 8, 8, 6, 0, 5, 1, 8, 9, 8, 0, 5, 3, 0, 1, 7, 9, 0, 6, 3, 6, 1, 9, 9
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OFFSET

0,1


COMMENTS

Coulomb selfenergy of a system of electric charges is the total electrostatic potential energy of interaction between charge elements.
For a uniformly charged threedimensional cube with a total charge Q and an edge length L it is equal to c * k*Q^2/L, where k is the Coulomb constant (A182999) and c is this constant.


LINKS



FORMULA

Equals (1 + sqrt(2)  2*sqrt(3))/5  Pi/3 + log((1 + sqrt(2)) * (2 + sqrt(3))).


EXAMPLE

0.94115632219483008005280041943418379392623144015535...


MATHEMATICA

RealDigits[(1 + Sqrt[2]  2*Sqrt[3])/5  Pi/3 + Log[(1 + Sqrt[2])*(2 + Sqrt[3])], 10, 100][[1]]


PROG

(PARI) (1 + sqrt(2)  2*sqrt(3))/5  Pi/3 + log((1+sqrt(2))*(2+sqrt(3))) \\ Michel Marcus, Jul 15 2020


CROSSREFS



KEYWORD



AUTHOR



STATUS

approved



