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A028420
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Number of monomer-dimer tilings of n X n chessboard.
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2
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1, 7, 131, 10012, 2810694, 2989126727, 11945257052321, 179788343101980135, 10185111919160666118608, 2172138783673094193937750015, 1743829823240164494694386437970640, 5270137993816086266962874395450234534887
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| 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
| S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 406-412.
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LINKS
| Jennifer Henry, Table of n, a(n) for n=1,...,21 [From S. R. Finch, Jan 30 2009]
S. R. Finch, Two Dimensional Monomer-Dimer Constant
D. Zeilberger, Source
Index entries for sequences related to dominoes
P. Flajolet and R. Sedgewick, Analytic Combinatorics, 2009; see page 362
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CROSSREFS
| Cf. A004003.
Sequence in context: A201308 A170912 A099601 * A051832 A103050 A110111
Adjacent sequences: A028417 A028418 A028419 * A028421 A028422 A028423
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KEYWORD
| nonn,nice
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AUTHOR
| Jennifer Henry, Shalosh Ekhad (ekhad(AT)euclid.math.temple.edu), S. R. Finch (Steven.Finch(AT)inria.fr)
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EXTENSIONS
| Broken links corrected by S. R. Finch (Steven.Finch(AT)inria.fr), Jan 27 2009
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