Guess the Permutation

From: Leroy Quet (qqquet_at_mindspring.com)
Date: 01/10/05 

Date: 10 Jan 2005 12:47:34 -0800

Here are the first terms of a sequence which
forms a permutation of the positive integers.

1,2,3,6,4,9,5,12,7,16,8,19,10,23,11,26,
13,30,14,33,15,36,17,...

Try to guess the rule I used to generate this permutation.
(Not in EIS.)

I know there are an infinite number of rules
which generate permutations which start with
the same terms as above.
But try to guess the rule anyway.

I will give the answer in a few days if no one else gives it sooner.
thanks,
Leroy Quet

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