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A242968
Decimal expansion of an Ising constant related to the triangular lattice.
2
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.
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
Sequence in context: A256609 A269892 A332437 * A021536 A199389 A256490
KEYWORD
nonn,cons
AUTHOR
STATUS
approved