A Triangle Based On Coprimality

[Leroy Quet]

>Consider the following triangle of integers:
>
>1
>2  3
>5  7  11
>4  6  8  9
>13 17 19 23 25
>12 14 16 18 21 22
>....
>
>The top row is a 1.
>The m_th row of the triangle contains the lowest m as-yet-unused positive 
>integers, in order from left to right, which are each coprime with every 
>integer in the (m-1)th row.
>
>(Triangle not in the EIS, it seems.)
>
>Is there a relatively easy way to determine in which row the integer k 
>appears?
>


I have just submitted the sequence to the OEIS.
Once it appears, maybe someone could extend it or add comments, if they 
desire.

(And thanks, of course, to Isabel Lugo for the email comment.)

thanks,
Leroy Quet