login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A242969 Decimal expansion of an Ising constant related to the hexagonal lattice. 2

%I

%S 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,

%T 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,

%U 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

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

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

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

%e 1.0250590964713132201744730083644777...

%t 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

%Y Cf. A242967, A242968.

%K nonn,cons

%O 1,3

%A _Jean-Fran├žois Alcover_, May 28 2014

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 15 04:33 EDT 2019. Contains 328026 sequences. (Running on oeis4.)