3-full numbers (A036966) sandwiched between twin primes.

Terms

a(0) =432a(1) =2592a(2) =139968a(3) =444528a(4) =472392a(5) =995328a(6) =3456000a(7) =5174928a(8) =6561000a(9) =10125000a(10) =15552000a(11) =15804072a(12) =17496000a(13) =25299648a(14) =28449792a(15) =37340352a(16) =54675000a(17) =63700992a(18) =85957848a(19) =88723728a(20) =99574272a(21) =120891312a(22) =144027072a(23) =169869312a(24) =177147000a(25) =197413632a(26) =253125000a(27) =259308000