I was trying out an iterative solution to computing the value of π, being a
sum of a simple formula. I made a straightforward implementation like so:

*      4×+/{(¯1*⍵+1)÷¯1+2×⍵}¨⍳1000000*

The above expression performs 1 million iterations, but is also allocates a
1 million element array to do so.

Is there a simple and natural way to perform this computation in an
iterative manner using the power operator (⍣)?

Regards,
Elias

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