|
|
A274418
|
|
Decimal expansion of V_4A, a Quantum Field Theory constant [negated] related to the coloring of the tetrahedron with four masses (adjacent case).
|
|
9
|
|
|
5, 9, 1, 3, 2, 0, 4, 7, 8, 3, 8, 8, 4, 0, 2, 0, 5, 3, 0, 4, 9, 5, 7, 1, 7, 8, 9, 2, 5, 3, 5, 4, 0, 5, 0, 2, 6, 8, 8, 3, 4, 1, 0, 9, 9, 1, 5, 3, 3, 9, 8, 0, 7, 0, 7, 2, 0, 8, 2, 7, 4, 1, 1, 7, 2, 1, 2, 0, 6, 0, 9, 5, 6, 3, 0, 0, 1, 1, 0, 2, 8, 2, 2, 9, 2, 7, 9, 2, 8, 4, 4, 6, 6, 5, 4, 3, 7, 6, 0, 1
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
REFERENCES
|
Jonathan Borwein and Peter Borwein, Experimental and Computational Mathematics: Selected Writings, Perfectly Scientific Press, 2010, p. 106.
|
|
LINKS
|
|
|
FORMULA
|
V_4A = 6 zeta(3) - 77/12 zeta(4) - 6 C^2, where C is A143298.
|
|
EXAMPLE
|
-5.9132047838840205304957178925354050268834109915339807072082741172...
|
|
MATHEMATICA
|
C0 = A143298 = (9 - PolyGamma[1, 2/3] + PolyGamma[1, 4/3])/(4*Sqrt[3]);
V4A = 6 Zeta[3] - 77/12 Zeta[4] - 6 C0^2;
RealDigits[V4A, 10, 100][[1]]
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|