is this worth submitting?

[Jud McCranie]

At 01:19 AM 9/11/2006, Andrew Weimholt wrote:
>If x^0 is considered a power of x, then the sequence becomes
>
>1, 2, 6, 12, 25, 85, 194, 590, 1695, 4879, 19077, 83994, 167988, 1041780
>
>which as it turns out is already in the OEIS as A034875
>
>Currently, only terms up to 1695 are listed, so the sequence should 
>be extended (any volunteers?).


I'm working on it.  It appears that each term is at least twice as 
large as the previous one.  Has that been proved/conjectured?