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A364841
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Number of subsets S of {1..n} containing no element equal to the sum of a k-multiset of elements of S, for any 2 <= k <= |S|.
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0
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1, 2, 3, 6, 9, 15, 21, 34, 49, 75, 105
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OFFSET
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0,2
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LINKS
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EXAMPLE
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The a(0) = 1 through a(5) = 15 subsets:
{} {} {} {} {} {}
{1} {1} {1} {1} {1}
{2} {2} {2} {2}
{3} {3} {3}
{1,3} {4} {4}
{2,3} {1,3} {5}
{1,4} {1,3}
{2,3} {1,4}
{3,4} {1,5}
{2,3}
{2,5}
{3,4}
{3,5}
{4,5}
{3,4,5}
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MATHEMATICA
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Table[Length[Select[Subsets[Range[n]], Intersection[#, Join@@Table[Total/@Tuples[#, k], {k, 2, Length[#]}]]=={}&]], {n, 0, 10}]
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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STATUS
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approved
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