login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A001207
Number of fixed hexagonal polyominoes with n cells.
(Formerly M2897 N1162)
26
1, 3, 11, 44, 186, 814, 3652, 16689, 77359, 362671, 1716033, 8182213, 39267086, 189492795, 918837374, 4474080844, 21866153748, 107217298977, 527266673134, 2599804551168, 12849503756579, 63646233127758, 315876691291677, 1570540515980274, 7821755377244303, 39014584984477092, 194880246951838595, 974725768600891269, 4881251640514912341, 24472502362094874818, 122826412768568196148, 617080993446201431307, 3103152024451536273288, 15618892303340118758816, 78679501136505611375745
OFFSET
1,2
REFERENCES
A. J. Guttmann, ed., Polygons, Polyominoes and Polycubes, Springer, 2009, p. 477. (Table 16.9 has 46 terms of this sequence.)
W. F. Lunnon, Counting hexagonal and triangular polyominoes, pp. 87-100 of R. C. Read, editor, Graph Theory and Computing. Academic Press, NY, 1972.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = 1..46 (from reference by A. J. Guttmann)
Moa Apagodu, Counting hexagonal lattice animals, arXiv:math/0202295 [math.CO], 2002-2009.
Gill Barequet, Solomon W. Golomb, and David A. Klarner, Polyominoes. (This is a revision, by G. Barequet, of the chapter of the same title originally written by the late D. A. Klarner for the first edition, and revised by the late S. W. Golomb for the second edition.) Preprint, 2016.
M. Bousquet-Mélou and A. Rechnitzer, Lattice animals and heaps of dimers, Discrete Mathematics, Volume 258, Issues 1-3, 6 December 2002, Pages 235-274.
Greg Malen, Érika Roldán, and Rosemberg Toalá-Enríquez, Extremal {p, q}-Animals, Ann. Comb. (2023), p. 3.
Stephan Mertens, Markus E. Lautenbacher, Counting lattice animals: a parallel attack, J. Statist. Phys. 66 (1992), no. 1-2, 669-678.
M. F. Sykes, M. Glen. Percolation processes in two dimensions. I. Low-density series expansions, J. Phys A 9 (1) (1976) 87.
Markus Voege and Anthony J. Guttmann, On the number of hexagonal polyominoes, Theoretical Computer Sciences, 307(2) (2003), 433-453. (Table 2 has 35 terms of this sequence.)
CROSSREFS
Cf. A000228 (free), A006535 (one-sided).
Cf. A121220 (simply connected), A059716 (column convex).
Sequence in context: A167013 A121220 A068091 * A319156 A026887 A151106
KEYWORD
nonn,nice
EXTENSIONS
3 more terms and reference from Achim Flammenkamp, Feb 15 1999
More terms from Markus Voege (markus.voege(AT)inria.fr), Mar 25 2004
STATUS
approved

pFad - Phonifier reborn

Pfad - The Proxy pFad of © 2024 Garber Painting. All rights reserved.

Note: This service is not intended for secure transactions such as banking, social media, email, or purchasing. Use at your own risk. We assume no liability whatsoever for broken pages.


Alternative Proxies:

Alternative Proxy

pFad Proxy

pFad v3 Proxy

pFad v4 Proxy