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%I #9 Feb 03 2022 05:54:15
%S 1,0,0,0,1,0,0,1,2,0,0,1,2,0,0,4,4,0,0,7,7,0,0,16,11,0,0,29,20,0,0,67,
%T 36,0,0,119,65,0,0,264,117,0,0,478,216,0,0,1043,396,0,0,1910,736,0,0,
%U 4116,1369,0,0,7592,2558,0,0,16201,4787,0,0,30114,9006
%N Number of polyominoes with n cells with maximal symmetry and center of rotation about the center of a square.
%C The sequence enumerates a subset of the polyominoes of maximal symmetry enumerated by A142886.
%H John Mason, <a href="/A351127/b351127.txt">Table of n, a(n) for n = 1..163</a>
%F For n multiple of 4, a(n) = A142886(n) - A346800(n/4); otherwise a(n) = A142886(n).
%Y Cf. A000105, A142886, A346800.
%K nonn,hard
%O 1,9
%A _John Mason_, Feb 02 2022
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