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 A329128 #18 Nov 08 2019 22:27:24
%S A329128 1,2,3,6,8,17,24,52,77,171,265,593,952,2131,3519,7846,13238,29351,
%T A329128 50374,111031,193155,423403,744616,1624302,2881784,6260030,11186219,
%U A329128 24213106,43522800,93922741,169653109,365172178
%N A329128 Number of nonequivalent sets whose translations and reflections cover {1..n}.
%C A329128 Equivalence is up to translation and reflection. Only translations and reflections that are subsets of {1..n} are included.
%e A329128 For n = 4 there are 6 sets (up to equivalence) that with their reflections and translations cover {1..4}:
%e A329128 {{1}, {2}, {3}, {4}};
%e A329128 {{1, 2}, {2, 3}, {3, 4}};
%e A329128 {{1, 3}, {2, 4}};
%e A329128 {{1, 2, 4}, {1, 3, 4}};
%e A329128 {{1, 2, 3}, {2, 3, 4}};
%e A329128 {{1, 2, 3, 4}}.
%e A329128 .
%e A329128 For n = 5 there are 8 sets (up to equivalence) that with their reflections and translations cover {1..5}:
%e A329128 {{1}, {2}, {3}, {4}, {5}};
%e A329128 {{1, 2}, {2, 3}, {3, 4}, {4, 5}};
%e A329128 {{1, 3}, {2, 4}, {3, 5}};
%e A329128 {{1, 2, 4}, {1, 3, 4}, {2, 3, 5}, {2, 4, 5}};
%e A329128 {{1, 2, 3}, {2, 3, 4}, {3, 4, 5}};
%e A329128 {{1, 2, 3, 5}, {1, 3, 4, 5}};
%e A329128 {{1, 2, 3, 4}, {2, 3, 4, 5}};
%e A329128 {{1, 2, 3, 4, 5}}.
%Y A329128 Cf. A079500 (if only translations allowed).
%Y A329128 Cf. A096202, A096203, A329235.
%K A329128 nonn,more
%O A329128 1,2
%A A329128 _Andrew Howroyd_, Nov 07 2019