OFFSET
0,6
EXAMPLE
The a(4) = 1 through a(9) = 11 partitions:
(211) (221) (411) (322) (332) (441)
(311) (21111) (331) (422) (522)
(421) (431) (621)
(511) (521) (711)
(22111) (611) (22221)
(31111) (22211) (32211)
(32111) (33111)
(41111) (42111)
(2111111) (51111)
(2211111)
(3111111)
MATHEMATICA
Table[Length[Select[IntegerPartitions[n], OddQ[Length[#]]&&Mean[#]!=Median[#]&]], {n, 0, 30}]
CROSSREFS
These partitions are ranked by A359892.
KEYWORD
nonn
AUTHOR
Gus Wiseman, Jan 20 2023
STATUS
approved