Number of partitions p of n including round(mean(p)) as a part. (This is "Mathematica round").

Terms

a(0) =0a(1) =1a(2) =2a(3) =3a(4) =4a(5) =5a(6) =7a(7) =10a(8) =13a(9) =18a(10) =25a(11) =31a(12) =44a(13) =57a(14) =73a(15) =99a(16) =127a(17) =166a(18) =205a(19) =268a(20) =349a(21) =424a(22) =548a(23) =674a(24) =858a(25) =1075a(26) =1324a(27) =1665a(28) =1973a(29) =2472