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A274419
Decimal expansion of V_4N, a Quantum Field Theory constant [negated] related to the coloring of the tetrahedron with four masses (non-adjacent case).
9
6, 0, 5, 4, 1, 6, 7, 8, 5, 8, 5, 9, 0, 2, 1, 9, 7, 3, 9, 3, 6, 9, 3, 9, 9, 5, 6, 9, 1, 6, 1, 4, 4, 8, 7, 9, 4, 8, 1, 3, 1, 1, 5, 3, 6, 2, 0, 0, 3, 5, 8, 2, 4, 0, 3, 6, 5, 2, 1, 1, 3, 8, 1, 4, 4, 9, 8, 3, 2, 1, 7, 7, 2, 5, 3, 7, 5, 0, 2, 6, 9, 8, 7, 7, 8, 7, 7, 1, 7, 1, 7, 8, 0, 4, 3, 8, 5, 7, 7, 0, 2, 6, 6
OFFSET
1,1
REFERENCES
Jonathan Borwein and Peter Borwein, Experimental and Computational Mathematics: Selected Writings, Perfectly Scientific Press, 2010, p. 106.
FORMULA
V_4N = 6 zeta(3 - 14 zeta(4) - 16 U, where U is A255685.
EXAMPLE
-6.054167858590219739369399569161448794813115362003582403652113814498...
MATHEMATICA
U = A255685 = Pi^4/180 + (Pi^2/12)*Log[2]^2 - (1/12)*Log[2]^4 - 2*PolyLog[4, 1/2];
V4N = 6 Zeta[3] - 14 Zeta[4] - 16 U;
RealDigits[V4N, 10, 103][[1]]
CROSSREFS
Cf. A274412 (V_1), A274413 (V_2A), A274414 (V_2N), A274415 (V_3T), A274416 (V_3S), A274417 (V_3L), A274418 (V_4A), A274420 (V_5), A274421 (V_6).
Sequence in context: A275933 A079540 A011492 * A131329 A165954 A340576
KEYWORD
nonn,cons
AUTHOR
STATUS
approved