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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. 1
1, 2, 18, 36, 2180, 6728, 2200776, 12988816, 20355006224, 258584046368, 1801272981919008, 53060477521960000, 1560858753560238398528, 112202208776036178000000, 13428038397958481723104394368 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

Subsequence of even-subscripted terms is A004003.

REFERENCES

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

LINKS

S. R. Finch (Steven.Finch(AT)inria.fr), Apr 03 2008, Table of n, a(n) for n = 1..19

CROSSREFS

Cf. A004003.

Sequence in context: A086490 A085876 A099904 * A050594 A098857 A189333

Adjacent sequences:  A137305 A137306 A137307 * A137309 A137310 A137311

KEYWORD

nonn

AUTHOR

S. R. Finch (Steven.Finch(AT)inria.fr), Apr 03 2008

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Last modified February 16 16:00 EST 2012. Contains 205938 sequences.