This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A367532 #20 Jul 08 2024 10:38:16
%S A367532 1,70,65536,1073758336,281474976710656,1180591620734591303680,
%T A367532 79228162514264337593543950336,85070591730234615870455337878516924416,
%U A367532 1461501637330902918203684832716283019655932542976,401734511064747568885490523085607563280607806359022338048000
%N A367532 The number of ways of tiling the n X n grid up to 90-degree rotation by a tile that is not fixed under 180-degree rotation.
%H A367532 Peter Kagey, <a href="/A367532/a367532.pdf">Illustration of a(2)=70</a>
%H A367532 Peter Kagey and William Keehn, <a href="https://arxiv.org/abs/2311.13072">Counting tilings of the n X m grid, cylinder, and torus</a>, arXiv: 2311.13072 [math.CO], 2023. See also <a href="https://cs.uwaterloo.ca/journals/JIS/VOL27/Kagey/kagey6.html">J. Int. Seq.</a>, (2024) Vol. 27, Art. No. 24.6.1, pp. A-6, A-10.
%F A367532 a(2*n-1) = 256^(n^2 - n).
%F A367532 a(2*n) = 4^(n^2 - 1)*(2 + 4^n^2 + 64^n^2).
%t A367532 Table[{256^(m^2 - m), 4^(m^2 - 1)*(2 + 4^m^2 + 64^m^2)}, {m, 1, 5}] // Flatten
%Y A367532 Cf. A047937, A367525, A367529, A367531.
%K A367532 nonn
%O A367532 1,2
%A A367532 _Peter Kagey_, Dec 11 2023