A071332
Number of polyiamonds with n cells that tile the plane.
Original entry on oeis.org
1, 1, 1, 3, 4, 12, 23, 66, 139, 341, 567, 2034, 2495, 6354, 12908, 30261, 26556, 110145, 95967, 377523, 499672, 788726, 845130, 4998370, 3694670, 7406217, 13175181, 33557076, 22381719, 117770863
Offset: 1
- M. Gardner, Tiling with Polyominoes, Polyiamonds and Polyhexes. Chap. 14 in Time Travel and Other Mathematical Bewilderments. New York: W. H. Freeman, pp. 175-187, 1988.
A054361
Number of polyominoes with n cells without holes that do not tile the plane.
Original entry on oeis.org
0, 0, 0, 0, 0, 0, 3, 20, 198, 1390, 9474, 35488, 178448, 696371, 2721544, 10683110, 41334494, 155723774, 596182769, 2257379379, 8587521496, 32688629235, 124568505590, 475147925759, 1815832051949
Offset: 1
Joe Keane (jgk(AT)jgk.org)
- Posting by Glenn C. Rhoads (rhoads(AT)paul.rutgers.edu) to rec.puzzles, Feb 17 2000.
A070768
Number of polyhexes with n cells without holes that do not tile the plane.
Original entry on oeis.org
0, 0, 0, 0, 0, 4, 37, 381, 2717, 18760, 116439, 565943, 3033697, 14835067, 72633658, 356923880, 1746833634, 8532601529, 41868336466, 205618704167, 1012359995953
Offset: 1
- M. Gardner, Tiling with Polyominoes, Polyiamonds and Polyhexes. Chap. 14 in Time Travel and Other Mathematical Bewilderments. New York: W. H. Freeman, pp. 175-187, 1988.
More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), May 05 2007
A071333
Number of polyiamonds with n cells that do not tile the plane.
Original entry on oeis.org
0, 0, 0, 0, 0, 0, 1, 0, 21, 107, 619, 1300, 6740, 19812, 61075, 181036, 577551, 1626183, 4904626, 14071461, 41336066, 120630534, 352200161, 1023454347, 2997105957, 8761810505, 25648786717, 75161609591, 220583137840, 647825855933
Offset: 1
- M. Gardner, Tiling with Polyominoes, Polyiamonds and Polyhexes. Chap. 14 in Time Travel and Other Mathematical Bewilderments. New York: W. H. Freeman, pp. 175-187, 1988.
-
A[s_Integer] := With[{s6 = StringPadLeft[ToString[s], 6, "0"]}, Cases[ Import["https://oeis.org/A" <> s6 <> "/b" <> s6 <> ".txt", "Table"], {, }][[All, 2]]];
A000577 = A@000577;
A071332 = A@071332;
a[n_] := A000577[[n]] - A071332[[n]];
a /@ Range[30] (* Jean-François Alcover, Feb 21 2020 *)
Showing 1-4 of 4 results.