The cubes related to the strictly increasing subsequence of A053668(n), n >= 1.

Terms

a(0) =1a(1) =8a(2) =27a(3) =64a(4) =343a(5) =729a(6) =2744a(7) =3375a(8) =6859a(9) =35937a(10) =46656a(11) =148877a(12) =287496a(13) =438976a(14) =778688a(15) =2985984a(16) =3869893a(17) =8489664a(18) =34645976a(19) =43986977a(20) =58863869a(21) =75686967a(22) =398688256a(23) =426957777a(24) =485587656a(25) =596947688a(26) =835896888a(27) =1693669888a(28) =2548895896a(29) =2954987875