tn = 3n or 3*3* ... *3 (where there are n threes.)
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The first four terms are 3 9 27 81 and 729 is the 6th term.
1, 16, 81, 256 14641 is the 11th term.
While there are not enough numbers to fully clarify the nth term of the sequence, according to the sequence so far it appears that the nth term is equal to n4. Therefore, the next number will equal 44 = 256
81/108 = 27/36 = 9/12 = 3/4
They are all power of three.