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

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, 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, 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

Offset

2,3

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=2..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_1 = 6 zeta(3) + 3 zeta(4).

Example

10.459311120090980286946440058692203652914170609799174013802557978...

Mathematica

V1 = 6 Zeta[3] + 3 Zeta[4];
RealDigits[V1, 10, 100][[1]]

Crossrefs

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).

Sequence in context: A200588 A197821 A046570 * A168429 A195787 A010667

Adjacent sequences: A274409 A274410 A274411 * A274413 A274414 A274415

Keyword

nonn,cons

Author

Jean-François Alcover, Jun 21 2016

Status

approved