OFFSET
1,3
COMMENTS
For an integer partition y of n, we call a positive integer k <= n a non-subset-sum iff there is no submultiset of y summing to k.
EXAMPLE
The a(6) = 11 ways, showing each strict partition and its non-subset-sums:
(6): 1,2,3,4,5
(51): 2,3,4
(42): 1,3,5
(321):
MATHEMATICA
Table[Total[Length[Complement[Range[n], Total/@Subsets[#]]]& /@ Select[IntegerPartitions[n], UnsameQ@@#&]], {n, 30}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Gus Wiseman, Sep 23 2023
STATUS
approved