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A071333 Number of polyiamonds with n cells that do not tile the plane. 2

%I #11 Feb 22 2020 08:30:16

%S 0,0,0,0,0,0,1,0,21,107,619,1300,6740,19812,61075,181036,577551,

%T 1626183,4904626,14071461,41336066,120630534,352200161,1023454347,

%U 2997105957,8761810505,25648786717,75161609591,220583137840,647825855933

%N Number of polyiamonds with n cells that do not tile the plane.

%D 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.

%H Joseph Myers, <a href="http://www.polyomino.org.uk/mathematics/polyform-tiling/">Polyiamond tiling</a>

%t A[s_Integer] := With[{s6 = StringPadLeft[ToString[s], 6, "0"]}, Cases[ Import["https://oeis.org/A" <> s6 <> "/b" <> s6 <> ".txt", "Table"], {_, _}][[All, 2]]];

%t A000577 = A@000577;

%t A071332 = A@071332;

%t a[n_] := A000577[[n]] - A071332[[n]];

%t a /@ Range[30] (* _Jean-François Alcover_, Feb 21 2020 *)

%Y Equals A000577(n)-A071332(n) and A070764(n)+A071334(n). Cf. A054360, A070767.

%K hard,nonn

%O 1,9

%A _Joseph Myers_, May 19 2002

%E More terms from _Joseph Myers_, Nov 11 2003

%E a(29) and a(30) from _Joseph Myers_, Nov 21 2010

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Last modified July 28 00:45 EDT 2024. Contains 374674 sequences. (Running on oeis4.)