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Search: id:A028420
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| A028420 |
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Number of monomer-dimer tilings of n X n chessboard. |
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+0
2
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| 1, 7, 131, 10012, 2810694, 2989126727, 11945257052321, 179788343101980135, 10185111919160666118608, 2172138783673094193937750015, 1743829823240164494694386437970640, 5270137993816086266962874395450234534887
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Also seems to be the total number of matchings (not necessarily perfect ones) in the n X n grid. - Andre Poenitz (poenitz(AT)htwm.de), Nov 20 2003
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REFERENCES
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S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 406-412.
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LINKS
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S. R. Finch, Two Dimensional Monomer-Dimer Constant
D. Zeilberger, Source
Index entries for sequences related to dominoes
S. R. Finch, Two Dimensional Monomer Dimer Constant
S. R. Finch, Two Dimensional Monomer-Dimer Constant
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CROSSREFS
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Cf. A004003.
Sequence in context: A142011 A074224 A099601 this_sequence A051832 A103050 A110111
Adjacent sequences: A028417 A028418 A028419 this_sequence A028421 A028422 A028423
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KEYWORD
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nonn,nice
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AUTHOR
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Jeniffer Henry, Shalosh Ekhad (ekhad(AT)euclid.math.temple.edu), S. R. Finch (Steven.Finch(AT)inria.fr)
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