cp's OEIS Frontend

A274414 Decimal expansion of V_2N, a Quantum Field Theory constant related to the coloring of the tetrahedron with two masses (non-adjacent case).

%I A274414 #5 Jun 21 2016 10:14:40
%S A274414 1,1,2,0,2,4,8,3,9,7,0,3,9,2,4,2,0,8,2,2,7,2,5,1,6,5,4,8,2,2,4,2,0,9,
%T A274414 5,2,6,2,7,5,7,7,6,6,7,1,9,7,9,0,6,8,8,9,7,3,9,2,2,4,5,8,6,6,4,9,8,4,
%U A274414 1,4,0,3,9,1,8,3,6,7,2,3,4,4,4,4,8,4,3,6,5,7,9,8,9,6,6,6,2,8,4,7,9,2,2
%N A274414 Decimal expansion of V_2N, a Quantum Field Theory constant related to the coloring of the tetrahedron with two masses (non-adjacent case).
%D A274414 Jonathan Borwein and Peter Borwein, Experimental and Computational Mathematics: Selected Writings, Perfectly Scientific Press, 2010, p. 106.
%H A274414 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 A274414 V_2N = 6 zeta(3) - 13/2 zeta(4) - 8 U, where U is A255685.
%e A274414 1.1202483970392420822725165482242095262757766719790688973922458664984...
%t A274414 U = A255685 = Pi^4/180 + (Pi^2/12)*Log[2]^2 - (1/12)*Log[2]^4 - 2*PolyLog[4, 1/2];
%t A274414 V2N = 6 Zeta[3] - 13/2 Zeta[4] - 8 U;
%t A274414 RealDigits[V2N, 10, 103][[1]]
%Y A274414 Cf. A274412 (V_1), A274413 (V_2A), A274415 (V_3T), A274416 (V_3S), A274417 (V_3L), A274418 (V_4A), A274419 (V_4N), A274420 (V_5), A274421 (V_6).
%K A274414 nonn,cons
%O A274414 1,3
%A A274414 _Jean-François Alcover_, Jun 21 2016