A242969 Decimal expansion of an Ising constant related to the hexagonal lattice.

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

Offset

1,3

References

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.22 Lenz-Ising constants, p. 399.

Links

Table of n, a(n) for n=1..100.

Formula

3/4*log(2) + log(3)/2 + H/4, where H is defined in A242967.

Example

1.0250590964713132201744730083644777...

Mathematica

H = Sqrt[3]/(6*Pi)*PolyGamma[1, 1/6] - Pi/Sqrt[3] - Log[6]; 3/4*Log[2] + Log[3]/2 + H/4 // RealDigits[#, 10, 100]& // First

Crossrefs

Cf. A242967, A242968.

Sequence in context: A123342 A196816 A058204 * A268886 A090625 A021403

Adjacent sequences: A242966 A242967 A242968 * A242970 A242971 A242972

Keyword

nonn,cons

Author

Jean-François Alcover, May 28 2014

Status

approved