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A245740
Decimal expansion of z_(3-12-12), the bulk limit of the number of spanning trees on a 3-12-12 lattice.
1
7, 2, 0, 5, 6, 3, 3, 2, 2, 8, 6, 6, 5, 7, 7, 1, 0, 6, 0, 7, 7, 3, 6, 4, 5, 2, 0, 6, 2, 7, 9, 5, 7, 5, 5, 2, 4, 2, 2, 3, 8, 3, 5, 1, 9, 3, 3, 2, 3, 6, 7, 0, 4, 2, 3, 8, 3, 6, 1, 4, 0, 9, 6, 1, 5, 2, 7, 9, 1, 4, 7, 4, 1, 6, 0, 4, 3, 5, 9, 9, 0, 3, 2, 0, 4, 4, 7, 9, 4, 6, 3, 9, 2, 2, 9, 4, 7, 7, 6, 6, 5, 9, 2
OFFSET
0,1
FORMULA
(1/6)*(log(2) + 2*log(3) + log(5) + H), where H is the auxiliary constant A242967.
Equals (1/6)*(A245725 + log(15)).
EXAMPLE
0.720563322866577106077364520627957552422383519332367042383614...
MATHEMATICA
H = Sqrt[3]/(6*Pi)*PolyGamma[1, 1/6] - Pi/Sqrt[3] - Log[6]; RealDigits[(1/6)*(Log[2] + 2*Log[3] + Log[5] + H), 10, 103] // First
CROSSREFS
Cf. A218387(z_sq), A242967(H), A245725(z_tri), A245736(z_br), A245737(z_hc), A245739(z_kag).
Sequence in context: A102771 A341798 A232812 * A318922 A236565 A093954
KEYWORD
nonn,cons,easy
AUTHOR
STATUS
approved