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A001420 Number of fixed 2-dimensional triangular-celled animals with n cells (n-iamonds) in the 2-dimensional hexagonal lattice.
(Formerly M0806 N0305)
+0
3
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 (list; graph; listen)
OFFSET

1,1

COMMENT

The hexagonal lattice is the familiar 2-dimensional lattice in which each point has 6 neighbors. This is sometimes called the triangular lattice.

REFERENCES

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.

LINKS

G. Nebe and N. J. A. Sloane, Home page for hexagonal (or triangular) lattice A2

CROSSREFS

Cf. A000577, A001168, A006534, A030223, A030224.

Sequence in context: A002995 A093467 A080408 this_sequence A049339 A081293 A007611

Adjacent sequences: A001417 A001418 A001419 this_sequence A001421 A001422 A001423

KEYWORD

nonn,hard,nice

AUTHOR

njas

EXTENSIONS

More terms from Brendan Owen (brendan_owen(AT)yahoo.com), Dec 15, 2001

One more term from Joseph Myers (jsm(AT)polyomino.org.uk), Sep 24 2002

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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