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Search: id:A000988
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| A000988 |
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Number of one-sided polyominoes with n cells.
(Formerly M1749 N0693)
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+0
6
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| 1, 1, 2, 7, 18, 60, 196, 704, 2500, 9189, 33896, 126759, 476270, 1802312, 6849777, 26152418, 100203194, 385221143, 1485200848, 5741256764, 22245940545, 86383382827, 336093325058, 1309998125640
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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A000105(n) + A030228(n) = a(n) because the number of free polyominoes plus the number of polyominoes lacking bilateral symmetry equals the number of one-sided polyominoes. - Graeme McRae" (g_m(AT)mcraefamily.com), Jan 05 2006
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REFERENCES
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S. W. Golomb, Polyominoes. Scribner's, NY, 1965; second edition ( Polyominoes: Puzzles, Packings, Problems and Patterns) Princeton Univ. Press, 1994.
J. E. Goodman and J. O'Rourke, editors, Handbook of Discrete and Computational Geometry, CRC Press, 1997, p. 229.
W. F. Lunnon, personal communication.
W. F. Lunnon, Counting multidimensional polyominoes. Computer Journal 18 (1975), no. 4, pp. 366-367.
D. H. Redelmeier, Counting polyominoes: yet another attack, Discrete Math., 36 (1981), 191-203.
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LINKS
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Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
Eric Weisstein's World of Mathematics, Polyomino
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CROSSREFS
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See A006758 for another version. See also A030228 (chiral polyominoes), A000105.
Sequence in context: A099626 A046672 A046866 this_sequence A002214 A100408 A140562
Adjacent sequences: A000985 A000986 A000987 this_sequence A000989 A000990 A000991
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KEYWORD
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nonn
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AUTHOR
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njas, hugh(AT)mimosa.com (D. Hugh Redelmeier)
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