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Search: id:A006724
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| A006724 |
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Number of fixed n-celled self-avoiding polygons on square lattice.
(Formerly M1637)
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+0
1
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| 1, 2, 6, 19, 63, 216, 756, 2684, 9638, 34930, 127560, 468837, 1732702, 6434322, 23993874, 89805691, 337237337, 1270123530, 4796310672, 18155586993, 68874803609, 261803388854, 996971935098, 3802944302442, 14528816598358
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Translations, rotations and reflections are not allowed.
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
I. G. Enting and A. J. Guttmann, On the area of square lattice polygons, J. Statist. Phys., 58 (1990), 475-484.
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LINKS
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I. Jensen, Table of n, a(n) for n = 1..42 (from link below)
I. Jensen, More terms
Tomas Oliveira e Silva, Enumeration of polyominoes
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CROSSREFS
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Cf. A002931.
Sequence in context: A059712 A059713 A109262 this_sequence A057409 A141771 A001170
Adjacent sequences: A006721 A006722 A006723 this_sequence A006725 A006726 A006727
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KEYWORD
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nonn,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Simon Plouffe (simon.plouffe(AT)gmail.com)
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