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A001207 Number of fixed hexagonal polyominoes with n cells.
(Formerly M2897 N1162)
11
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The Voege-Guttmann paper extends the series to n=35. - Markus Voege (markus.voege(AT)inria.fr), Mar 25 2004

REFERENCES

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, http://www.csun.edu/~ctoth/Handbook/chap14.pdf

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

Table of n, a(n) for n=1..35.

Moa Apagodu, Counting hexagonal lattice animals, arXiv:math/0202295 [math.CO], 2002-2009.

M. Bousquet-Mélou and A. Rechnitzer, Lattice animals and heaps of dimers

Stephan Mertens, Markus E. Lautenbacher, Counting lattice animals: a parallel attack, J. Statist. Phys. 66 (1992), no. 1-2, 669-678.

H. Redelmeier, Emails to N. J. A. Sloane, 1991

Markus Voege and Anthony J. Guttmann, On the number of hexagonal polyominoes

Markus Voege and Anthony J. Guttmann, On the number of hexagonal polyominoes, Theoretical Computer Sciences, 307(2) (2003), 433-453.

CROSSREFS

Sequence in context: A167013 A121220 A068091 * A319156 A026887 A151106

Adjacent sequences:  A001204 A001205 A001206 * A001208 A001209 A001210

KEYWORD

nonn,nice

AUTHOR

N. J. A. Sloane.

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

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Last modified November 18 09:23 EST 2018. Contains 317279 sequences. (Running on oeis4.)