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Search: id:A001420
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| A001420 |
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Number of fixed 2-dimensional triangular-celled animals with n cells (n-iamonds) in the 2-dimensional hexagonal lattice.
(Formerly M0806 N0305)
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+0
4
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| 2, 3, 6, 14, 36, 94, 250, 675, 1838, 5053, 14016, 39169, 110194, 311751, 886160, 2529260, 7244862, 20818498, 59994514, 173338962, 501994070, 1456891547, 4236446214, 12341035217, 36009329450, 105229462401, 307942754342, 902338712971, 2647263986022, 7775314024683, 22861250676074
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The hexagonal lattice is the familiar 2-dimensional lattice in which each point has 6 neighbors. This is sometimes called the triangular lattice.
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REFERENCES
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Gadi Aleksandrowicz and Gill Barequet, Counting d-Dimensional Polycubes and Nonrectangular Polyominoes, in Computing and Combinatorics, Lecture Notes in Computer Science, Volume 4112, 2006, pp. 418-427, Springer-Verlag. [From N. J. A. Sloane, Jul 09 2009]
W. F. Lunnon, Counting hexagonal and triangular polyominoes, pp. 87-100 of R. C. Read, editor, Graph Theory and Computing. Academic Press, NY, 1972.
D. H. Redelmeier, personal communication.
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).
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LINKS
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G. Nebe and N. J. A. Sloane, Home page for hexagonal (or triangular) lattice A2
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CROSSREFS
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Cf. A000577, A001168, A006534, A030223, A030224.
Sequence in context: A002995 A093467 A080408 this_sequence A049339 A157100 A081293
Adjacent sequences: A001417 A001418 A001419 this_sequence A001421 A001422 A001423
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KEYWORD
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nonn,hard,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Brendan Owen (brendan_owen(AT)yahoo.com), Dec 15, 2001
a(28) from Joseph Myers (jsm(AT)polyomino.org.uk), Sep 24 2002
a(29)-a(31) from the Aleksandrowicz and Barequet paper (N. J. A. Sloane, Jul 09 2009)
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