OFFSET
0,11
COMMENTS
We define a non-co-mode in a multiset to be an element that appears more times than at least one of the others. For example, the non-co-modes in {a,a,b,b,b,c,d,d,d} are {a,b,d}.
EXAMPLE
The a(9) = 1 through a(12) = 9 partitions:
(32211) (33211) (33221) (43311)
(42211) (52211) (44211)
(322111) (322211) (62211)
(332111) (422211)
(422111) (522111)
(3221111) (3222111)
(3321111)
(4221111)
(32211111)
MATHEMATICA
ncomsi[ms_]:=Select[Union[ms], Count[ms, #]>Min@@Length/@Split[ms]&];
Table[Length[Select[IntegerPartitions[n], Length[ncomsi[#]]>1&]], {n, 0, 30}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Gus Wiseman, May 18 2023
STATUS
approved