A Graham-Pollak-like sequence with cube root instead of square root.

Terms

a(0) =1a(1) =2a(2) =3a(3) =4a(4) =6a(5) =8a(6) =11a(7) =15a(8) =20a(9) =26a(10) =34a(11) =44a(12) =56a(13) =71a(14) =90a(15) =114a(16) =144a(17) =182a(18) =230a(19) =291a(20) =367a(21) =463a(22) =584a(23) =737a(24) =929a(25) =1171a(26) =1476a(27) =1860a(28) =2344a(29) =2954