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 A326021 #16 Jun 03 2024 13:17:54 %S A326021 1,1,1,2,3,6,12,23,45,90,180,359,717,1432,2862,5723,11444,22887,45772, %T A326021 91541,183078,366151,732295,1464583,2929158,5858307,11716603,23433196, %U A326021 46866379,93732744,187465471,374930922,749861819,1499723610 %N A326021 Number of complete subsets of {1..n} with maximum n. %C A326021 A set of positive integers summing to n is complete if every nonnegative integer up to n is the sum of some subset. %H A326021 Charlie Neder, <a href="/A326021/b326021.txt">Table of n, a(n) for n = 1..300</a> %H A326021 Andrzej Kukla and Piotr Miska, <a href="https://arxiv.org/abs/2405.18225">On practical sets and A-practical numbers</a>, arXiv:2405.18225 [math.NT], 2024. %e A326021 The a(1) = 1 through a(7) = 12 subsets: %e A326021 {1} {1,2} {1,2,3} {1,2,4} {1,2,3,5} {1,2,3,6} {1,2,3,7} %e A326021 {1,2,3,4} {1,2,4,5} {1,2,4,6} {1,2,4,7} %e A326021 {1,2,3,4,5} {1,2,3,4,6} {1,2,3,4,7} %e A326021 {1,2,3,5,6} {1,2,3,5,7} %e A326021 {1,2,4,5,6} {1,2,3,6,7} %e A326021 {1,2,3,4,5,6} {1,2,4,5,7} %e A326021 {1,2,4,6,7} %e A326021 {1,2,3,4,5,7} %e A326021 {1,2,3,4,6,7} %e A326021 {1,2,3,5,6,7} %e A326021 {1,2,4,5,6,7} %e A326021 {1,2,3,4,5,6,7} %t A326021 Table[Length[Select[Subsets[Range[n]],Max@@#==n&&Union[Plus@@@Subsets[#]]==Range[0,Total[#]]&]],{n,10}] %Y A326021 Cf. A002033, A103295, A108917, A126796, A188431, A276024. %Y A326021 Cf. A325684, A325781, A325790, A325791, A325986, A325988, A326016, A326020, A326022, A326036. %K A326021 nonn %O A326021 1,4 %A A326021 _Gus Wiseman_, Jun 04 2019 %E A326021 a(18)-a(34) from _Charlie Neder_, Jun 05 2019