A242967 Decimal expansion of H, an auxiliary constant used to evaluate some Ising-related constants on triangular and hexagonal lattices (negated).

1, 7, 6, 4, 2, 9, 7, 3, 3, 1, 3, 0, 8, 0, 2, 4, 3, 0, 3, 4, 4, 2, 9, 4, 8, 0, 4, 7, 6, 1, 6, 7, 0, 3, 0, 2, 3, 6, 1, 7, 8, 1, 4, 8, 8, 2, 8, 0, 0, 6, 9, 6, 2, 5, 2, 0, 1, 0, 3, 1, 9, 9, 1, 3, 2, 5, 8, 1, 2, 3, 5, 1, 1, 5, 1, 9, 5, 4, 4, 7, 2, 0, 6, 0, 5, 4, 1, 0, 3, 6, 3, 6, 3, 2, 9, 3, 8, 1, 5, 9, 6

Offset

0,2

References

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.22 Lenz-Ising constants, p. 400.

Links

Table of n, a(n) for n=0..100.

Eric Weisstein's MathWorld, Digamma Function

Formula

sqrt(3)/(6*Pi)*psi'(1/6) - Pi/sqrt(3) - log(6), where psi' is the derivative of the digamma function.

Example

-0.1764297331308024303442948047616703...

Mathematica

Sqrt[3]/(6*Pi)*PolyGamma[1, 1/6] - Pi/Sqrt[3] - Log[6] // RealDigits[#, 10, 101]& // First

Crossrefs

Sequence in context: A131184 A021933 A154730 * A228628 A131266 A258094

Adjacent sequences: A242964 A242965 A242966 * A242968 A242969 A242970

Keyword

nonn,cons

Author

Jean-François Alcover, May 28 2014

Status

approved