A066543 - OEIS

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A066543

Number of spanning trees in the line graph of the product of two cycle graphs, each of order n, L(C_n x C_n).

782757789696, 5976745079881894723584, 29514790517935282585600000000000000, 95296975201657487970461602120230307486331043840000, 202142993853936783750487849288950496428731602354031286611374533246976

(list; graph; refs; listen; history; text; internal format)

OFFSET

3,1

LINKS

Table of n, a(n) for n=3..7.

FORMULA

a(n) = 2^(3*n^2-1) * A212800(n). - Sean A. Irvine, Oct 25 2023

EXAMPLE

NumberOfSpanningTrees(L(C_3 x C_3)) = 782757789696

MATHEMATICA

NumberOfSpanningTrees[LineGraph[GraphProduct[Cycle[n], Cycle[n]]]] (* First load package DiscreteMath`Combinatorica` *)

CROSSREFS