Number of partitions p of n such that floor(mean(p)) and ceiling(mean(p)) are parts of p.

Terms

a(0) =0a(1) =1a(2) =2a(3) =3a(4) =4a(5) =5a(6) =7a(7) =8a(8) =11a(9) =15a(10) =18a(11) =22a(12) =37a(13) =36a(14) =50a(15) =73a(16) =89a(17) =100a(18) =152a(19) =161a(20) =249a(21) =290a(22) =330a(23) =413a(24) =646a(25) =666a(26) =803a(27) =1060a(28) =1348a(29) =1473