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A006724 Number of fixed n-celled self-avoiding polygons on square lattice.
(Formerly M1637)
4

%I M1637 #29 Sep 23 2022 07:13:21

%S 1,2,6,19,63,216,756,2684,9638,34930,127560,468837,1732702,6434322,

%T 23993874,89805691,337237337,1270123530,4796310672,18155586993,

%U 68874803609,261803388854,996971935098,3802944302442,14528816598358

%N Number of fixed n-celled self-avoiding polygons on square lattice.

%C Translations, rotations and reflections are not allowed.

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H I. Jensen, <a href="/A006724/b006724.txt">Table of n, a(n) for n = 1..42</a> (from link below)

%H I. G. Enting and A. J. Guttmann, <a href="http://dx.doi.org/10.1007/BF01112757">On the area of square lattice polygons</a>, J. Statist. Phys., 58 (1990), 475-484. See p. 477.

%H I. Jensen, <a href="https://web.archive.org/web/20160102114247/http://www.ms.unimelb.edu.au/~iwan/polygons/series/square.area.ser">More terms</a>

%H Tomás Oliveira e Silva, <a href="http://sweet.ua.pt/tos/animals.html">Enumeration of polyominoes</a>

%Y Cf. A002931.

%K nonn,nice

%O 1,2

%A _N. J. A. Sloane_, _Simon Plouffe_

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Last modified March 28 13:42 EDT 2024. Contains 371254 sequences. (Running on oeis4.)