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A006534 Number of one-sided triangular polyominoes (n-iamonds) with n cells (turning over not allowed) (holes are allowed).
(Formerly M3287)
+0
6
1, 1, 1, 4, 6, 19, 43, 120, 307, 866, 2336, 6588, 18373, 52119, 147700, 422016, 1207477, 3471067, 9999135, 28893560, 83665729, 242826187, 706074369, 2056870697, 6001555275, 17538335077, 51323792789, 150390053432 (list; graph; listen)
OFFSET

1,4

REFERENCES

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

F. Harary, Graphical enumeration problems; in Graph Theory and Theoretical Physics, ed. F. Harary, Academic Press, London, 1967, pp. 1-41.

W. F. Lunnon, Counting hexagonal and triangular polyominoes, pp. 87-100 of R. C. Read, editor, Graph Theory and Computing. Academic Press, NY, 1972.

J. Meeus, personal communication.

P. J. Torbijn, Polyiamonds, J. Rec. Math., 2 (1969), 216-227.

LINKS

Ed Pegg, Jr., Illustrations of polyforms

R. K. Guy, O'Beirne's Hexiamond, in The Mathemagician and the Pied Puzzler - A Collection in Tribute to Martin Gardner, Ed. E. R. Berlekamp and T. Rogers, A. K. Peters, 1999, 85-96.

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

CROSSREFS

Cf. A000577, A006534, A030223, A030224, A001420.

Sequence in context: A095383 A116383 A026521 this_sequence A064035 A010364 A110391

Adjacent sequences: A006531 A006532 A006533 this_sequence A006535 A006536 A006537

KEYWORD

nonn,hard,nice

AUTHOR

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

EXTENSIONS

Corrected and extended by David W. Wilson (davidwwilson(AT)comcast.net). a(19) from Achim Flammenkamp (achim(AT)uni-bielefeld.de) Feb 15 1999.

a(20) to a(28) from Joseph Myers (jsm(AT)polyomino.org.uk), Sep 24 2002

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.


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