Numbers k dividing every cyclic permutation of k^3.

Terms

a(0) =1a(1) =2a(2) =3a(3) =9a(4) =11a(5) =41a(6) =63a(7) =77a(8) =91a(9) =99a(10) =219a(11) =303a(12) =411a(13) =999a(14) =1353a(15) =5291a(16) =6363a(17) =6993a(18) =7777a(19) =8547a(20) =9009a(21) =9191a(22) =9901a(23) =9999a(24) =12561a(25) =23661a(26) =41841a(27) =47027a(28) =75609a(29) =90243