OFFSET
0,9
EXAMPLE
The a(7) = 1 through a(16) = 15 partitions (A=10, B=11, C=12, D=13):
(421) (431) (621) (532) (542) (651) (643) (653) (762) (754)
(521) (541) (632) (732) (652) (743) (843) (763)
(631) (641) (831) (742) (752) (861) (853)
(721) (731) (921) (751) (761) (942) (862)
(821) (832) (842) (A32) (871)
(841) (851) (A41) (943)
(931) (932) (B31) (952)
(A21) (941) (C21) (961)
(A31) (A42)
(B21) (A51)
(B32)
(B41)
(C31)
(D21)
(64321)
MATHEMATICA
Table[Length[Select[IntegerPartitions[n], UnsameQ@@#&&OddQ[Length[#]]&&Mean[#]!=Median[#]&]], {n, 0, 30}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Gus Wiseman, Jan 21 2023
STATUS
approved