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

Author

Jean-François Alcover, Jul 31 2014

Keywords

• nonn
• cons
• easy

Examples

			0.8076648680486262852340912768095159851806046019514675403271711759...
		

Links

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

Crossrefs

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

Programs

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

Formula

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