A071333 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

A071333

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

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

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,9

REFERENCES

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.

LINKS

Table of n, a(n) for n=1..30.

Joseph Myers, Polyiamond tiling

MATHEMATICA

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 *)

CROSSREFS

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

Sequence in context: A077400 A041854 A219820 * A222347 A039611 A353622

Adjacent sequences: A071330 A071331 A071332 * A071334 A071335 A071336

KEYWORD

hard,nonn

AUTHOR

Joseph Myers, May 19 2002

EXTENSIONS

More terms from Joseph Myers, Nov 11 2003

a(29) and a(30) from Joseph Myers, Nov 21 2010

STATUS

approved