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A274416 Decimal expansion of V_3S, a Quantum Field Theory constant [negated] related to the coloring of the tetrahedron with three masses (star case). 9
2, 8, 6, 0, 8, 6, 2, 2, 2, 4, 1, 3, 9, 3, 2, 7, 3, 5, 0, 2, 7, 2, 7, 8, 4, 5, 6, 7, 7, 7, 3, 2, 4, 1, 9, 1, 7, 5, 6, 1, 4, 4, 1, 4, 6, 2, 0, 2, 0, 1, 0, 0, 0, 3, 9, 5, 0, 0, 1, 6, 6, 1, 1, 9, 6, 6, 7, 1, 7, 8, 3, 1, 2, 4, 1, 1, 5, 2, 0, 3, 7, 5, 8, 3, 6, 2, 8, 4, 1, 4, 8, 7, 0, 9, 2, 5, 4, 4, 4, 9, 8, 8, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
1,1
REFERENCES
Jonathan Borwein and Peter Borwein, Experimental and Computational Mathematics: Selected Writings, Perfectly Scientific Press, 2010, p. 106.
LINKS
FORMULA
V_3S = 6 zeta(3) - 11/2 zeta(4) - 4 C^2, where C is A143298.
EXAMPLE
-2.860862224139327350272784567773241917561441462020100039500166119667...
MATHEMATICA
C0 = A143298 = (9 - PolyGamma[1, 2/3] + PolyGamma[1, 4/3])/(4*Sqrt[3]);
V3S = 6 Zeta[3] - 11/2 Zeta[4] - 4 C0^2;
RealDigits[V3S, 10, 103][[1]]
CROSSREFS
Cf. A274412 (V_1), A274413 (V_2A), A274414 (V_2N), A274415 (V_3T), A274417 (V_3L), A274418 (V_4A), A274419 (V_4N), A274420 (V_5), A274421 (V_6).
Sequence in context: A183232 A344691 A096417 * A011059 A200284 A019771
KEYWORD
nonn,cons
AUTHOR
STATUS
approved

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Last modified June 24 09:58 EDT 2024. Contains 373674 sequences. (Running on oeis4.)