OFFSET
1,1
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.
FORMULA
V_4N = 6 zeta(3 - 14 zeta(4) - 16 U, where U is A255685.
EXAMPLE
-6.054167858590219739369399569161448794813115362003582403652113814498...
MATHEMATICA
U = A255685 = Pi^4/180 + (Pi^2/12)*Log[2]^2 - (1/12)*Log[2]^4 - 2*PolyLog[4, 1/2];
V4N = 6 Zeta[3] - 14 Zeta[4] - 16 U;
RealDigits[V4N, 10, 103][[1]]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Jean-François Alcover, Jun 21 2016
STATUS
approved