OFFSET
0,7
COMMENTS
Also the number of strict integer partitions of n with no pair of distinct parts summing to n.
EXAMPLE
The a(5) = 1 through a(13) = 12 strict partitions (A..D = 10..13):
(5) (6) (7) (8) (9) (A) (B) (C) (D)
(321) (421) (431) (432) (532) (542) (543) (643)
(521) (531) (541) (632) (642) (652)
(621) (631) (641) (651) (742)
(721) (731) (732) (751)
(4321) (821) (741) (832)
(5321) (831) (841)
(921) (931)
(5421) (A21)
(6321) (5431)
(6421)
(7321)
MATHEMATICA
Table[Length[Select[IntegerPartitions[n], UnsameQ@@#&&Length[#]!=2&]], {n, 0, 30}]
CROSSREFS
The complement is counted by A140106 shifted left.
KEYWORD
nonn
AUTHOR
Gus Wiseman, Sep 20 2023
STATUS
approved