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A151525 Number of poly-IH64-tiles (holes allowed) with n cells.

%I A151525 #25 Apr 16 2023 09:22:59
%S A151525 1,2,4,12,35,116,392,1390,4998,18321,67791,253288,952527,3603761,
%T A151525 13699516,52301427,200406183,770429000,2970400815,11482461055,
%U A151525 44491876993,172766558719,672186631950,2619995431640,10228902801505,39996342220199,156612023001490,614044351536722
%N A151525 Number of poly-IH64-tiles (holes allowed) with n cells.
%C A151525 Equivalently, polyominoes where two polyominoes are considered the same if and only if they are related by a translation or a reflection in a horizontal line.  Formerly described as one-sided polyrects, but that is A151522.
%D A151525 Branko Grünbaum and G. C. Shephard, Tilings and Patterns. W. H. Freeman, New York, 1987, Sections 6.2 and 9.4.
%H A151525 John Mason, <a href="/A151525/b151525.txt">Table of n, a(n) for n = 1..50</a>
%H A151525 Jean-François Alcover, <a href="/A151525/a151525.txt">Mathematica program</a>
%H A151525 Wikipedia, <a href="https://en.wikipedia.org/wiki/Polyomino">Polyomino</a>
%F A151525 a(n) = 4*A006749(n) + 3*A006746(n) + 2*A006748(n) + 2*A006747(n) + 2*A056877(n) + A056878(n) + A144553(n) + A142886(n). - _Andrew Howroyd_, Dec 04 2018
%Y A151525 Polyominoes by group of symmetries relating shapes considered the same: A000105 (all symmetries), A001168 (translations only), A000988 (rotations and translations), A056780 (horizontal and vertical reflections, rotations of order 2 and translations), A056783 (reflections in either diagonal, rotations of order 2 and translations), A151522 (rotations of order 2 and translations), A151525 (reflections in a horizontal line and translations), A182645 (reflections in a NE-SW diagonal line and translations)
%K A151525 nonn
%O A151525 1,2
%A A151525 _Ed Pegg Jr_, May 13 2009
%E A151525 Edited and a(13)-a(18) by _Joseph Myers_, Nov 24 2010
%E A151525 a(19)-a(28) from _Andrew Howroyd_, Dec 04 2018