cp's OEIS Frontend

A274412 Decimal expansion of V_1, a Quantum Field Theory constant related to the coloring of the tetrahedron with one mass.

%I A274412 #8 Feb 04 2025 15:09:22
%S A274412 1,0,4,5,9,3,1,1,1,2,0,0,9,0,9,8,0,2,8,6,9,4,6,4,4,0,0,5,8,6,9,2,2,0,
%T A274412 3,6,5,2,9,1,4,1,7,0,6,0,9,7,9,9,1,7,4,0,1,3,8,0,2,5,5,7,9,7,8,3,8,3,
%U A274412 3,9,1,0,8,3,2,7,8,7,8,5,0,8,0,7,8,9,4,6,4,1,4,9,4,8,1,1,1,1,3,0
%N A274412 Decimal expansion of V_1, a Quantum Field Theory constant related to the coloring of the tetrahedron with one mass.
%D A274412 Jonathan Borwein and Peter Borwein, Experimental and Computational Mathematics: Selected Writings, Perfectly Scientific Press, 2010, p. 106.
%H A274412 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 A274412 V_1 = 6 zeta(3) + 3 zeta(4).
%e A274412 10.459311120090980286946440058692203652914170609799174013802557978...
%t A274412 V1 = 6 Zeta[3] + 3 Zeta[4];
%t A274412 RealDigits[V1, 10, 100][[1]]
%o A274412 (PARI) 6*zeta(3) + 3*zeta(4) \\ _Charles R Greathouse IV_, Feb 04 2025
%Y A274412 Cf. A274413 (V_2A), A274414 (V_2N), A274415 (V_3T), A274416 (V_3S), A274417 (V_3L), A274418 (V_4A), A274419 (V_4N), A274420 (V_5), A274421 (V_6).
%K A274412 nonn,cons
%O A274412 2,3
%A A274412 _Jean-François Alcover_, Jun 21 2016