Number of partitions p of n such that ceiling(mean(p)) is a part and floor(mean(p)) is not.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =0a(5) =0a(6) =0a(7) =1a(8) =1a(9) =1a(10) =4a(11) =6a(12) =2a(13) =13a(14) =16a(15) =14a(16) =23a(17) =41a(18) =38a(19) =73a(20) =58a(21) =94a(22) =152a(23) =196a(24) =137a(25) =271a(26) =384a(27) =422a(28) =481a(29) =751