

A137308


Number of dimer coverings on n X n square if n is even; number of dimer arrangements with exactly one monomer if n is odd.


2



1, 1, 2, 18, 36, 2180, 6728, 2200776, 12988816, 20355006224, 258584046368, 1801272981919008, 53060477521960000, 1560858753560238398528, 112202208776036178000000, 13428038397958481723104394368
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OFFSET

0,3


COMMENTS

Subsequence of evensubscripted terms is A004003.
Also the number of maximum matchings in the n X n grid graph.  Eric W. Weisstein, May 28 2017


REFERENCES

Y. Kong, Packing dimers on (2p+1) X (2q+1) lattices, Phys. Rev. E 73 (2006) 016106


LINKS

Eric Weisstein's World of Mathematics, Matching


CROSSREFS



KEYWORD

nonn


AUTHOR



EXTENSIONS



STATUS

approved



