Number of partitions of n which are not the partitions into (one or more) consecutive parts.

Terms

a(0) =0a(1) =1a(2) =1a(3) =4a(4) =5a(5) =9a(6) =13a(7) =21a(8) =27a(9) =40a(10) =54a(11) =75a(12) =99a(13) =133a(14) =172a(15) =230a(16) =295a(17) =382a(18) =488a(19) =625a(20) =788a(21) =1000a(22) =1253a(23) =1573a(24) =1955a(25) =2434a(26) =3006a(27) =3716a(28) =4563a(29) =5600