cp's OEIS Frontend

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).

%I A274419 #8 Nov 19 2024 00:42:12
%S A274419 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,
%T A274419 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,
%U A274419 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
%N 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).
%D A274419 Jonathan Borwein and Peter Borwein, Experimental and Computational Mathematics: Selected Writings, Perfectly Scientific Press, 2010, p. 106.
%H A274419 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 A274419 V_4N = 6*zeta(3) - 14*zeta(4) - 16*U, where U is A255685.
%e A274419 -6.054167858590219739369399569161448794813115362003582403652113814498...
%t A274419 U = A255685 = Pi^4/180 + (Pi^2/12)*Log[2]^2 - (1/12)*Log[2]^4 - 2*PolyLog[4, 1/2];
%t A274419 V4N = 6 Zeta[3] - 14 Zeta[4] - 16 U;
%t A274419 RealDigits[V4N, 10, 103][[1]]
%Y A274419 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).
%K A274419 nonn,cons
%O A274419 1,1
%A A274419 _Jean-François Alcover_, Jun 21 2016