Upper (1/3,1/2) midsequence of (n^2) and (n^3); see Comments.

Terms

a(0) =0a(1) =1a(2) =6a(3) =17a(4) =38a(5) =71a(6) =120a(7) =188a(8) =278a(9) =392a(10) =534a(11) =706a(12) =912a(13) =1155a(14) =1438a(15) =1763a(16) =2134a(17) =2553a(18) =3024a(19) =3550a(20) =4134a(21) =4778a(22) =5486a(23) =6260a(24) =7104a(25) =8021a(26) =9014a(27) =10085a(28) =11238a(29) =12475