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In a recent paper S. Friedland and the author presented a formal expressionfor Lambda_d(p) of the monomer-dimer problem in d dimensions involving a powerseries in p. We there presented the result of computations for the terms in thepower series through the sixth power. I herein present the result for theseventh power term, in d = 2. An interesting feature of the new computation isthat it would have been impossible without a new algorithm for computation ofthe Tutte polynomial, by Bjorklund, Husfeldt, Kaski, and Koivisto.

The p7 term in the new Expansion for Lambda2(p) of the Monomer-Dimer Problem