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

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, 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, 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

Offset

1,1

References

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

Links

Table of n, a(n) for n=1..101.

David J. Broadhurst, Massive 3-loop Feynman diagrams reducible to SC* primitives of algebras of the sixth root of unity, arXiv:hep-th/9803091, 1998; p. 18.

Formula

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

Example

-2.528567684442678011245604299801811180382840813225548878393156606946...

Mathematica

V3T = 6 Zeta[3] - 9 Zeta[4];
RealDigits[V3T, 10, 101][[1]]

Crossrefs

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).

Sequence in context: A220072 A065223 A248154 * A292584 A029621 A240223

Adjacent sequences: A274412 A274413 A274414 * A274416 A274417 A274418

Keyword

nonn,cons

Author

Jean-François Alcover, Jun 21 2016

Status

approved