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A326174 Number of subsets of {1..n} containing n whose sum is greater than or equal to the sum of their complement. 7
1, 2, 4, 7, 13, 25, 50, 98, 186, 366, 739, 1457, 2822, 5589, 11258, 22304, 43629, 86658, 174257, 346180, 680955, 1354829, 2721296, 5414787, 10689261, 21290468, 42730228, 85112982, 168430866, 335726276, 673421519, 1342347992, 2661053796, 5307062034, 10640664164 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Fausto A. C. Cariboni, Table of n, a(n) for n = 1..46

EXAMPLE

The a(1) = 1 through a(5) = 13 subsets:

  {1}  {2}    {3}      {1,4}      {3,5}

       {1,2}  {1,3}    {2,4}      {4,5}

              {2,3}    {3,4}      {1,2,5}

              {1,2,3}  {1,2,4}    {1,3,5}

                       {1,3,4}    {1,4,5}

                       {2,3,4}    {2,3,5}

                       {1,2,3,4}  {2,4,5}

                                  {3,4,5}

                                  {1,2,3,5}

                                  {1,2,4,5}

                                  {1,3,4,5}

                                  {2,3,4,5}

                                  {1,2,3,4,5}

MATHEMATICA

Table[Length[Select[Subsets[Range[n]], MemberQ[#, n]&&Plus@@#>=Plus@@Complement[Range[n], #]&]], {n, 10}]

CROSSREFS

Cf. A053632, A057567, A057568, A059529, A063865, A326152, A326173, A326175.

Sequence in context: A119266 A102026 A103204 * A017995 A251654 A303059

Adjacent sequences:  A326171 A326172 A326173 * A326175 A326176 A326177

KEYWORD

nonn

AUTHOR

Gus Wiseman, Jun 11 2019

EXTENSIONS

a(21)-a(42) from Bert Dobbelaere, Jun 22 2019

STATUS

approved

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Last modified July 24 14:36 EDT 2021. Contains 346273 sequences. (Running on oeis4.)