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 A329235 #6 Nov 08 2019 18:14:39 %S A329235 1,2,3,5,6,10,12,19,23,36,44,68,84,128,161,243,308,462,592,882,1140, %T A329235 1690,2200,3249,4255,6264,8246,12110,16008,23466,31128,45566,60618, %U A329235 88644,118205,172731,230782,337072,451082,658628,882582,1288432,1728484,2523104,3388084 %N A329235 Number of nonequivalent symmetric sets whose translations cover {1..n}. %C A329235 Equivalence is up to translation. Only translations that are subsets of {1..n} are included. %C A329235 Symmetric sets are those such that the set remains unchanged after mapping each element x to m - x, where m is the sum of the greatest and least elements. All sets of at most two elements are symmetric. %e A329235 For n = 6 there are 10 symmetric sets (up to equivalence) that with their translations cover {1..6}: %e A329235 {{1}, {2}, {3}, {4}, {5}, {6}}; %e A329235 {{1, 4}, {2, 5}, {3, 6}}; %e A329235 {{1, 3}, {2, 4}, {3, 5}, {4, 6}}; %e A329235 {{1, 3, 5}, {2, 4, 6}}; %e A329235 {{1, 2}, {2, 3}, {3, 4}, {4, 5}, {5, 6}}; %e A329235 {{1, 2, 4, 5}, {2, 3, 5, 6}}; %e A329235 {{1, 2, 3}, {2, 3, 4}, {3, 4, 5}, {4, 5, 6}}; %e A329235 {{1, 2, 3, 4}, {2, 3, 4, 5}, {3, 4, 5, 6}}; %e A329235 {{1, 2, 3, 4, 5}, {2, 3, 4, 5, 6}}; %e A329235 {{1, 2, 3, 4, 5, 6}}. %Y A329235 Cf. A079500 (if symmetry is not required). %Y A329235 Cf. A096202, A329128. %K A329235 nonn %O A329235 1,2 %A A329235 _Andrew Howroyd_, Nov 08 2019