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

Author

Jean-François Alcover, Jun 21 2016

Keywords

• nonn
• cons

Examples

			10.459311120090980286946440058692203652914170609799174013802557978...
		

References

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

Links

• 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.

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).

Programs

Mathematica

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

PARI

6*zeta(3) + 3*zeta(4) \\ Charles R Greathouse IV, Feb 04 2025

Formula

V_1 = 6 zeta(3) + 3 zeta(4).