A242968 Decimal expansion of an Ising constant related to the triangular lattice.

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

Offset

0,1

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=0..102.

Formula

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

Example

0.879585386161571517093896028307972843...

Mathematica

H = Sqrt[3]/(6*Pi)*PolyGamma[1, 1/6]  -  Pi/Sqrt[3] - Log[6]; Log[2] + Log[3]/4 + H/2 // RealDigits[#, 10, 103] & // First

Crossrefs

Cf. A242967, A242969.

Sequence in context: A256609 A269892 A332437 * A021536 A199389 A256490

Adjacent sequences: A242965 A242966 A242967 * A242969 A242970 A242971

Keyword

nonn,cons

Author

Jean-François Alcover, May 28 2014

Status

approved