cp's OEIS Frontend

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.

A326020 Number of complete subsets of {1..n}.

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%I A326020 #16 Jun 03 2024 13:18:42
%S A326020 1,2,3,4,6,9,15,27,50,95,185,365,724,1441,2873,5735,11458,22902,45789,
%T A326020 91561,183102,366180,732331,1464626,2929209,5858367,11716674,23433277,
%U A326020 46866473,93732852,187465596,374931067,749861989,1499723808,2999447418
%N A326020 Number of complete subsets of {1..n}.
%C A326020 A set of positive integers summing to n is complete if every nonnegative integer up to n is the sum of some subset.
%H A326020 Charlie Neder, <a href="/A326020/b326020.txt">Table of n, a(n) for n = 0..300</a>
%H A326020 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 A326020 The a(0) = 1 through a(6) = 15 subsets:
%e A326020   {}  {}   {}     {}       {}         {}           {}
%e A326020       {1}  {1}    {1}      {1}        {1}          {1}
%e A326020            {1,2}  {1,2}    {1,2}      {1,2}        {1,2}
%e A326020                   {1,2,3}  {1,2,3}    {1,2,3}      {1,2,3}
%e A326020                            {1,2,4}    {1,2,4}      {1,2,4}
%e A326020                            {1,2,3,4}  {1,2,3,4}    {1,2,3,4}
%e A326020                                       {1,2,3,5}    {1,2,3,5}
%e A326020                                       {1,2,4,5}    {1,2,3,6}
%e A326020                                       {1,2,3,4,5}  {1,2,4,5}
%e A326020                                                    {1,2,4,6}
%e A326020                                                    {1,2,3,4,5}
%e A326020                                                    {1,2,3,4,6}
%e A326020                                                    {1,2,3,5,6}
%e A326020                                                    {1,2,4,5,6}
%e A326020                                                    {1,2,3,4,5,6}
%t A326020 Table[Length[Select[Subsets[Range[n]],Union[Plus@@@Subsets[#]]==Range[0,Total[#]]&]],{n,0,10}]
%Y A326020 Cf. A002033, A103295, A108917, A126796, A188431, A276024.
%Y A326020 Cf. A325684, A325781, A325790, A325791, A325986, A325988, A326016, A326021, A326022, A326036.
%K A326020 nonn
%O A326020 0,2
%A A326020 _Gus Wiseman_, Jun 04 2019
%E A326020 a(17)-a(34) from _Charlie Neder_, Jun 05 2019