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A242968 Decimal expansion of an Ising constant related to the triangular lattice. 2

%I #6 May 28 2014 18:44:06

%S 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,

%T 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,

%U 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

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

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

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

%e 0.879585386161571517093896028307972843...

%t 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

%Y Cf. A242967, A242969.

%K nonn,cons

%O 0,1

%A _Jean-François Alcover_, May 28 2014

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