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

Terms

a(0) =0a(1) =1a(2) =5a(3) =14a(4) =30a(5) =55a(6) =90a(7) =139a(8) =203a(9) =284a(10) =384a(11) =505a(12) =648a(13) =817a(14) =1013a(15) =1238a(16) =1494a(17) =1783a(18) =2106a(19) =2467a(20) =2867a(21) =3308a(22) =3792a(23) =4321a(24) =4896a(25) =5521a(26) =6197a(27) =6926a(28) =7710a(29) =8551