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 A382382 #9 Mar 29 2025 15:31:49
%S A382382 0,1,3,6,11,17,27,48
%N A382382 Least k for which there exists an n-subset X of {0, ..., k} such that the variances of the subsets of X of size at least 2 are distinct.
%C A382382 The variance of a nonempty set Y is (Sum_{y in Y} (y-m)^2)/|Y|, where m is the average of Y and |Y| is the size of Y.
%C A382382 0 and a(n) necessarily belong to the set X in the definition.
%F A382382 A003022(n) <= a(n) < A382381(n) for n >= 2.
%e A382382 | a set X that satisfy the condition
%e A382382 n | (the largest element of X is a(n))
%e A382382 --+-----------------------------------
%e A382382 1 | {0}
%e A382382 2 | {0, 1}
%e A382382 3 | {0, 1, 3}
%e A382382 4 | {0, 1, 4, 6}
%e A382382 5 | {0, 2, 7, 8, 11}
%e A382382 6 | {0, 1, 4, 10, 12, 17}
%e A382382 7 | {0, 3, 4, 14, 19, 21, 27}
%e A382382 8 | {0, 1, 5, 15, 22, 40, 46, 48}
%Y A382382 Cf. A003022, A382381, A382383.
%K A382382 nonn,more
%O A382382 1,3
%A A382382 _Pontus von Brömssen_, Mar 23 2025