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A274415 Decimal expansion of V_3T, a Quantum Field Theory constant [negated] related to the coloring of the tetrahedron with three masses (triangle case). 9

%I #5 Jun 21 2016 10:15:10

%S 2,5,2,8,5,6,7,6,8,4,4,4,2,6,7,8,0,1,1,2,4,5,6,0,4,2,9,9,8,0,1,8,1,1,

%T 1,8,0,3,8,2,8,4,0,8,1,3,2,2,5,5,4,8,8,7,8,3,9,3,1,5,6,6,0,6,9,4,6,0,

%U 5,6,3,1,0,9,6,4,8,4,1,0,7,7,8,9,3,4,5,1,4,8,1,8,1,9,2,8,7,7,0,6,2

%N Decimal expansion of V_3T, a Quantum Field Theory constant [negated] related to the coloring of the tetrahedron with three masses (triangle case).

%D Jonathan Borwein and Peter Borwein, Experimental and Computational Mathematics: Selected Writings, Perfectly Scientific Press, 2010, p. 106.

%H David J. Broadhurst, <a href="http://arxiv.org/abs/hep-th/9803091">Massive 3-loop Feynman diagrams reducible to SC* primitives of algebras of the sixth root of unity</a>, arXiv:hep-th/9803091, 1998; p. 18.

%F V_3T = 6 zeta(3) - 9 zeta(4).

%e -2.528567684442678011245604299801811180382840813225548878393156606946...

%t V3T = 6 Zeta[3] - 9 Zeta[4];

%t RealDigits[V3T, 10, 101][[1]]

%Y Cf. A274412 (V_1), A274413 (V_2A), A274414 (V_2N), A274416 (V_3S), A274417 (V_3L), A274418 (V_4A), A274419 (V_4N), A274420 (V_5), A274421 (V_6).

%K nonn,cons

%O 1,1

%A _Jean-François Alcover_, Jun 21 2016

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