Search: id:A000577
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%I A000577 M2374 N0941
%S A000577 1,1,1,3,4,12,24,66,160,448,1186,3334,9235,26166,73983,211297,604107,
%T A000577 1736328,5000593,14448984,41835738,121419260,353045291,1028452717,
%U A000577 3000800627,8769216722,25661961898,75195166667
%N A000577 Number of triangular polyominoes (or polyiamonds) with n cells (turning 
               over is allowed, holes are allowed, must be connected along edges).
%C A000577 If holes are not allowed, we get A070765. - Joseph S. Myers, Apr 20 2009
%D A000577 F. Harary, Graphical enumeration problems; in Graph Theory and Theoretical 
               Physics, ed. F. Harary, Academic Press, London, 1967, pp. 1-41.
%D A000577 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 A000577 Ed Pegg, Jr., Polyform puzzles, in Tribute to a Mathemagician, Peters, 
               2005, pp. 119-125.
%D A000577 Jaime Rangel-Mondragon, Polyominoes and Related Families, The Mathematica 
               Journal, 9:3 (2005), 609-640.
%D A000577 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A000577 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A000577 P. J. Torbijn, Polyiamonds, J. Rec. Math., 2 (1969), 216-227.
%H A000577 Ed Pegg, Jr., <a href="http://demonstrations.wolfram.com/PolyformExplorer/
               ">Illustrations of polyforms</a>
%H A000577 A. Clarke, <a href="http://www.geocities.com/alclarke0">Polyiamonds</
               a>
%H A000577 S. T. Coffin, <a href="http://www.johnrausch.com/PuzzlingWorld/chap02b.htm">
               The Puzzling World of Polyhedral Dissections</a>, Chap 2, Table 1.
%H A000577 R. K. Guy, <a href="http://www.g4g4.com/contentsmmpp.html">O'Beirne's 
               Hexiamond</a>, 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.
%H A000577 J. and J. Hindriks, <a href="http://www.dutdes.com/ddfree.html">Dutchman 
               Designs: Quilting Patterns</a>
%H A000577 Kadon Enterprises, <a href="a577.gif">The 66 polyominoes of order 8</
               a> (from a puzzle)
%H A000577 Kadon Enterprises, <a href="http://www.gamepuzzles.com/esspoly.htm#OR">
               Home page</a>
%H A000577 M. Keller, <a href="http://www.solitairelaboratory.com/polyenum.html">
               Counting polyforms</a>
%H A000577 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               Polyiamond.html">Link to a section of The World of Mathematics.</
               a>
%Y A000577 Cf. A000207, A006534, A030223, A030224, A001420, A096361, A070765.
%Y A000577 Sequence in context: A073713 A084921 A070765 this_sequence A111758 A000942 
               A000207
%Y A000577 Adjacent sequences: A000574 A000575 A000576 this_sequence A000578 A000579 
               A000580
%K A000577 nonn,hard,nice
%O A000577 1,4
%A A000577 N. J. A. Sloane (njas(AT)research.att.com).
%E A000577 More terms from David W. Wilson (davidwwilson(AT)comcast.net). a(19) 
               from Achim Flammenkamp (achim(AT)uni-bielefeld.de) Feb 15 1999.
%E A000577 a(20), a(21), a(22), a(23) and a(24) from Brendan Owen (brendan_owen(AT)yahoo.com), 
               Jan 01 2002
%E A000577 a(25) to a(28) from Joseph Myers (jsm(AT)polyomino.org.uk), Sep 24 2002

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