Number of integer partitions of n where the parts have lesser mean than the distinct parts.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =1a(5) =2a(6) =3a(7) =7a(8) =9a(9) =16a(10) =22a(11) =34a(12) =44a(13) =69a(14) =88a(15) =118a(16) =163a(17) =221a(18) =280a(19) =376a(20) =473a(21) =619a(22) =800a(23) =1016a(24) =1257a(25) =1621a(26) =2038a(27) =2522a(28) =3117a(29) =3921