OFFSET
0,5
EXAMPLE
The a(2) = 1 through a(10) = 16 partitions:
(2) . (22) (32) (222) (322) (332) (3222) (3322)
(31) (41) (321) (331) (422) (3321) (3331)
(411) (421) (431) (4221) (4222)
(511) (521) (4311) (4321)
(611) (5211) (4411)
(2222) (6111) (5221)
(3221) (5311)
(3311) (6211)
(4211) (7111)
(5111) (22222)
(32221)
(33211)
(42211)
(43111)
(52111)
(61111)
MATHEMATICA
Table[Length[Select[IntegerPartitions[n], Floor[Mean[#]]==2&]], {n, 0, 30}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Gus Wiseman, Jul 05 2023
STATUS
approved