Number of partitions of n having depth 1; see Comments.

Terms

a(0) =0a(1) =1a(2) =1a(3) =2a(4) =4a(5) =6a(6) =9a(7) =11a(8) =20a(9) =25a(10) =37a(11) =47a(12) =67a(13) =85a(14) =122a(15) =142a(16) =200a(17) =259a(18) =330a(19) =412a(20) =538a(21) =663a(22) =846a(23) =1026a(24) =1309a(25) =1598a(26) =2013a(27) =2432a(28) =3003a(29) =3670