OFFSET
0,8
COMMENTS
Also the number of strict integer partitions of n without two parts (allowing parts to be re-used) summing to n.
EXAMPLE
The a(6) = 1 through a(12) = 7 strict partitions:
(6) (7) (8) (9) (10) (11) (12)
(4,2,1) (5,2,1) (4,3,2) (6,3,1) (5,4,2) (5,4,3)
(5,3,1) (7,2,1) (6,3,2) (7,3,2)
(6,2,1) (4,3,2,1) (6,4,1) (7,4,1)
(7,3,1) (8,3,1)
(8,2,1) (9,2,1)
(5,3,2,1) (5,4,2,1)
MATHEMATICA
Table[Length[Select[IntegerPartitions[n], UnsameQ@@#&&FreeQ[Total/@Tuples[#, 2], n]&]], {n, 0, 30}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Gus Wiseman, Sep 20 2023
STATUS
approved