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 A336274 Decimal expansion of the dimensionless coefficient of the Coulomb self-energy of a uniformly charged three-dimensional 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 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Coulomb self-energy of a system of electric charges is the total electrostatic potential energy of interaction between charge elements. For a uniformly charged three-dimensional 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 Table of n, a(n) for n=0..86. Orion Ciftja, Coulomb self-energy of a uniformly charged three-dimensional cube, Physics Letters A, Vol. 375, No. 3 (2011), pp. 766-767, alternative link. Wikipedia, Electric potential energy. 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 Cf. A085469, A182999, A336275. Sequence in context: A355282 A270309 A010158 * A286229 A242611 A098454 Adjacent sequences: A336271 A336272 A336273 * A336275 A336276 A336277 KEYWORD nonn,cons AUTHOR Amiram Eldar, Jul 15 2020 STATUS approved

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Last modified September 12 15:58 EDT 2024. Contains 375853 sequences. (Running on oeis4.)