cp's OEIS Frontend

A274418 Decimal expansion of V_4A, a Quantum Field Theory constant [negated] related to the coloring of the tetrahedron with four masses (adjacent case).

%I A274418 #5 Jun 21 2016 10:15:54
%S A274418 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,
%T A274418 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,
%U A274418 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
%N A274418 Decimal expansion of V_4A, a Quantum Field Theory constant [negated] related to the coloring of the tetrahedron with four masses (adjacent case).
%D A274418 Jonathan Borwein and Peter Borwein, Experimental and Computational Mathematics: Selected Writings, Perfectly Scientific Press, 2010, p. 106.
%H A274418 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 A274418 V_4A = 6 zeta(3) - 77/12 zeta(4) - 6 C^2, where C is A143298.
%e A274418 -5.9132047838840205304957178925354050268834109915339807072082741172...
%t A274418 C0 = A143298 = (9 - PolyGamma[1, 2/3] + PolyGamma[1, 4/3])/(4*Sqrt[3]);
%t A274418 V4A = 6 Zeta[3] - 77/12 Zeta[4] - 6 C0^2;
%t A274418 RealDigits[V4A, 10, 100][[1]]
%Y A274418 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).
%K A274418 nonn,cons
%O A274418 1,1
%A A274418 _Jean-François Alcover_, Jun 21 2016