Prime powers whose neighbors' greatest odd divisors are powers of primes.

Terms

a(0) =2a(1) =3a(2) =4a(3) =5a(4) =7a(5) =8a(6) =9a(7) =11a(8) =13a(9) =17a(10) =19a(11) =23a(12) =25a(13) =27a(14) =37a(15) =47a(16) =49a(17) =53a(18) =73a(19) =81a(20) =97a(21) =107a(22) =163a(23) =193a(24) =243a(25) =383a(26) =487a(27) =577a(28) =863a(29) =1153