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A038119 Number of n-celled solid polyominoes (or free polycubes, allowing mirror-image identification).
(Formerly M1760)
+0
14
1, 1, 2, 7, 23, 112, 607, 3811, 25413, 178083, 1279537, 9371094, 69513546, 520878101, 3934285874, 29915913663 (list; graph; listen)
OFFSET

1,3

COMMENT

A000162 but with one copy of each mirror-image deleted.

REFERENCES

Computed by Achim Flammenkamp (achim(AT)uni-bielefeld.de)

S. W. Golomb, Polyominoes. Scribner's, NY, 1965; second edition (Polyominoes: Puzzles, Packings, Problems and Patterns) Princeton Univ. Press, 1994.

W. F. Lunnon, Symmetry of cubical and general polyominoes, pp. 101-108 of R. C. Read, editor, Graph Theory and Computing. Academic Press, NY, 1972.

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

LINKS

Home page of Achim Flammenkamp

Kevin L. Gong, Polyominoes Home Page.

CROSSREFS

A038119 = (A007743+A000162)/2, A007743 = 2*A038119 - A000162, A000162 = 2*A038119 - A007743.

Sequence in context: A150387 A150388 A073344 this_sequence A006986 A000903 A049021

Adjacent sequences: A038116 A038117 A038118 this_sequence A038120 A038121 A038122

KEYWORD

nonn,nice,hard

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from Brendan Owen (brendan_owen(AT)yahoo.com), Jan 02 2002

More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), May 05 2007

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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