Number of partitions p of n not including ceiling(mean(p)) as a part.

Terms

a(0) =1a(1) =0a(2) =0a(3) =0a(4) =1a(5) =2a(6) =4a(7) =6a(8) =10a(9) =14a(10) =20a(11) =28a(12) =38a(13) =52a(14) =69a(15) =89a(16) =119a(17) =156a(18) =195a(19) =256a(20) =320a(21) =408a(22) =520a(23) =646a(24) =792a(25) =1021a(26) =1249a(27) =1528a(28) =1889a(29) =2341