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Search: id:A006074
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| A006074 |
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Number of polyaboloes (or polytans): number of different shapes that can be formed with n half-squares.
(Formerly M2379)
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+0
2
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| 1, 3, 4, 14, 30, 107, 318, 1116, 3743, 13240, 46476, 166358
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Also called supertangrams: a generalization of tangrams.
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
M. Gardner, Mathematical Magic Show. Random House, NY, 1978, p. 151 (but beware errors).
T. H. O'Beirne, New Scientist, 266 (Dec. 21, 1961), p. 752.
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LINKS
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Ed Pegg, Jr., Illustrations of polyforms
A. Clarke, Polyaboloe page
A. Clarke, Illustration of initial terms
M. Keller, Counting Polyforms
H. Picciotto, Geometric Puzzles
M. Vicher, Polyforms
Eric Weisstein's World of Mathematics, Polyabolo.
Author? Polyaboloes.
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CROSSREFS
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Sequence in context: A080878 A110565 A057433 this_sequence A081714 A117718 A086826
Adjacent sequences: A006071 A006072 A006073 this_sequence A006075 A006076 A006077
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KEYWORD
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nonn,nice,hard
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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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Corrected values for a(8) and a(9), found by Aaron Siegel and confirmed by a Japanese puzzlist named Taro, reported by Michael Keller (Wgreview(AT)aol.com), Sep 02 2000
One more term from Vladeta Jovovic (vladeta(AT)eunet.rs), Aug 11 2007
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