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A274414 Decimal expansion of V_2N, a Quantum Field Theory constant related to the coloring of the tetrahedron with two masses (non-adjacent case). 9
1, 1, 2, 0, 2, 4, 8, 3, 9, 7, 0, 3, 9, 2, 4, 2, 0, 8, 2, 2, 7, 2, 5, 1, 6, 5, 4, 8, 2, 2, 4, 2, 0, 9, 5, 2, 6, 2, 7, 5, 7, 7, 6, 6, 7, 1, 9, 7, 9, 0, 6, 8, 8, 9, 7, 3, 9, 2, 2, 4, 5, 8, 6, 6, 4, 9, 8, 4, 1, 4, 0, 3, 9, 1, 8, 3, 6, 7, 2, 3, 4, 4, 4, 4, 8, 4, 3, 6, 5, 7, 9, 8, 9, 6, 6, 6, 2, 8, 4, 7, 9, 2, 2 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,3

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=1..103.

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_2N = 6 zeta(3) - 13/2 zeta(4) - 8 U, where U is A255685.

EXAMPLE

1.1202483970392420822725165482242095262757766719790688973922458664984...

MATHEMATICA

U = A255685 = Pi^4/180 + (Pi^2/12)*Log[2]^2 - (1/12)*Log[2]^4 - 2*PolyLog[4, 1/2];

V2N = 6 Zeta[3] - 13/2 Zeta[4] - 8 U;

RealDigits[V2N, 10, 103][[1]]

CROSSREFS

Cf. A274412 (V_1), A274413 (V_2A), A274415 (V_3T), A274416 (V_3S), A274417 (V_3L), A274418 (V_4A), A274419 (V_4N), A274420 (V_5), A274421 (V_6).

Sequence in context: A194765 A239229 A058210 * A079550 A226430 A067648

Adjacent sequences:  A274411 A274412 A274413 * A274415 A274416 A274417

KEYWORD

nonn,cons

AUTHOR

Jean-Fran├žois Alcover, Jun 21 2016

STATUS

approved

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Last modified November 21 04:41 EST 2019. Contains 329350 sequences. (Running on oeis4.)