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 A327481 #7 Sep 13 2019 17:05:11 %S A327481 1,1,1,1,3,1,1,3,3,1,1,3,7,3,1,1,3,9,9,3,1,1,3,9,19,9,3,1,1,3,9,25,25, %T A327481 9,3,1,1,3,9,29,51,29,9,3,1,1,3,9,31,75,75,31,9,3,1,1,3,9,31,93,151, %U A327481 93,31,9,3,1,1,3,9,31,105,235,235,105,31,9,3,1 %N A327481 Triangle read by rows where T(n,k) is the number of nonempty subsets of {1..n} with mean k. %C A327481 All terms are odd. %e A327481 Triangle begins: %e A327481 1 %e A327481 1 1 %e A327481 1 3 1 %e A327481 1 3 3 1 %e A327481 1 3 7 3 1 %e A327481 1 3 9 9 3 1 %e A327481 1 3 9 19 9 3 1 %e A327481 1 3 9 25 25 9 3 1 %e A327481 1 3 9 29 51 29 9 3 1 %e A327481 1 3 9 31 75 75 31 9 3 1 %e A327481 1 3 9 31 93 151 93 31 9 3 1 %e A327481 1 3 9 31 105 235 235 105 31 9 3 1 %e A327481 The subsets counted in row n = 5: %e A327481 {1} {2} {3} {4} {5} %e A327481 {1,3} {1,5} {3,5} %e A327481 {1,2,3} {2,4} {3,4,5} %e A327481 {1,3,5} %e A327481 {2,3,4} %e A327481 {1,2,4,5} %e A327481 {1,2,3,4,5} %t A327481 Table[Length[Select[Subsets[Range[n]],Mean[#]==k&]],{n,10},{k,n}] %Y A327481 Row sums are A051293. %Y A327481 The sequence of rows converges to A066571. %Y A327481 The version for partitions is A327482. %Y A327481 Cf. A000016, A063776, A065795, A135342, A327474, A327475, A327483, A327484. %K A327481 nonn,tabl %O A327481 1,5 %A A327481 _Gus Wiseman_, Sep 13 2019