[seqfan] Is it certain that this is a permutation?

[Leroy Quet]

Just submitted this:

%I A175350
%S A175350 1,2,6,5,67,11,637
%N A175350 a(n) = the smallest positive integer not yet occurring such that the number of divisors of sum{k=1 to n} a(k) is exactly n. 
%C A175350 It seems likely that this is a permutation of the positive integers. Is it? 
%C A175350 sum{k=1 to n} a(k) = A175351(n). 
%Y A175350 A175351 
%K A175350 more,nonn
%O A175350 1,2

Is this for certain a permutation of the positive intgers? Or am I missing something obvious which proves that this is not so?

(PS: I, as I bet Neil does too, hate subjective statements in the comments, such as I have here {..."seems likely"...}. As soon as this sequence appears, if any resolution has been made on this problem, then I will change the comment appropriately.)

Thanks,
Leroy Quet


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