A245737 Decimal expansion of z_hc, the bulk limit of the number of spanning trees on a honeycomb lattice.

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

Offset

0,1

Links

Table of n, a(n) for n=0..102.

Robert Shrock and F. Y. Wu, Spanning Trees on Graphs and Lattices in d Dimensions p. 7.

Formula

(1/2)*(log(2) + log(3) + H), where H is the auxiliary constant A242967.

Example

0.8076648680486262852340912768095159851806046019514675403271711759...

Mathematica

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

Crossrefs

Cf. A218387(z_sq), A242967(H), A245725(z_tri).

Sequence in context: A165268 A306071 A201321 * A198221 A183001 A262522

Adjacent sequences: A245734 A245735 A245736 * A245738 A245739 A245740

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Jul 31 2014

Status

approved