OFFSET
0,5
EXAMPLE
The strict partition (14,5,4,2,1) has no subset summing to 13 so is counted under a(26).
The a(2) = 1 through a(10) = 9 strict partitions:
(2) (3) (4) (5) (6) (7) (8) (9) (10)
(3,1) (3,2) (4,2) (4,3) (5,3) (5,4) (6,4)
(4,1) (5,1) (5,2) (6,2) (6,3) (7,3)
(6,1) (7,1) (7,2) (8,2)
(4,3,1) (8,1) (9,1)
(5,2,1) (4,3,2) (5,3,2)
(5,3,1) (5,4,1)
(6,2,1) (6,3,1)
(7,2,1)
MATHEMATICA
nmz[y_]:=Complement[Range[Total[y]], Total/@Subsets[y]];
Table[Length[Select[IntegerPartitions[n], UnsameQ@@#&&Length[nmz[#]]>0&]], {n, 0, 15}]
CROSSREFS
A325799 counts non-subset-sums of prime indices.
KEYWORD
nonn
AUTHOR
Gus Wiseman, Sep 28 2023
STATUS
approved