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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 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
COMMENTS
Subsequence of even-subscripted terms is A004003.
Rightmost diagonal of A242861.
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, Grid Graph
Eric Weisstein's World of Mathematics, Matching
Eric Weisstein's World of Mathematics, Maximum Independent Edge Set
CROSSREFS
Sequence in context: A086490 A085876 A099904 * A050594 A098857 A189333
KEYWORD
nonn
AUTHOR
Steven Finch, Apr 03 2008
EXTENSIONS
a(0)=1 prepended by Alois P. Heinz, Aug 15 2021
STATUS
approved

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Last modified April 14 07:36 EDT 2024. Contains 371655 sequences. (Running on oeis4.)