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A274418 Decimal expansion of V_4A, a Quantum Field Theory constant [negated] related to the coloring of the tetrahedron with four masses (adjacent case). 9
5, 9, 1, 3, 2, 0, 4, 7, 8, 3, 8, 8, 4, 0, 2, 0, 5, 3, 0, 4, 9, 5, 7, 1, 7, 8, 9, 2, 5, 3, 5, 4, 0, 5, 0, 2, 6, 8, 8, 3, 4, 1, 0, 9, 9, 1, 5, 3, 3, 9, 8, 0, 7, 0, 7, 2, 0, 8, 2, 7, 4, 1, 1, 7, 2, 1, 2, 0, 6, 0, 9, 5, 6, 3, 0, 0, 1, 1, 0, 2, 8, 2, 2, 9, 2, 7, 9, 2, 8, 4, 4, 6, 6, 5, 4, 3, 7, 6, 0, 1 (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_4A = 6 zeta(3) - 77/12 zeta(4) - 6 C^2, where C is A143298.
EXAMPLE
-5.9132047838840205304957178925354050268834109915339807072082741172...
MATHEMATICA
C0 = A143298 = (9 - PolyGamma[1, 2/3] + PolyGamma[1, 4/3])/(4*Sqrt[3]);
V4A = 6 Zeta[3] - 77/12 Zeta[4] - 6 C0^2;
RealDigits[V4A, 10, 100][[1]]
CROSSREFS
Cf. A274412 (V_1), A274413 (V_2A), A274414 (V_2N), A274415 (V_3T), A274416 (V_3S), A274417 (V_3L), A274419 (V_4N), A274420 (V_5), A274421 (V_6).
Sequence in context: A201676 A199797 A188616 * A127414 A186192 A231532
KEYWORD
nonn,cons
AUTHOR
STATUS
approved

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Last modified March 29 05:28 EDT 2024. Contains 371264 sequences. (Running on oeis4.)