Animated GIF file

When we vary m, wouldn't it be nice to see progressive plots put together in a movie?
Can combine the PNG files together in an animated GIF file: 
convert -delay 50 -loop 1000 -crop 0x0 \
        plot1.png plot2.png plot3.png plot4.png ...  movie.gif

animate movie.gif  # or display movie.gif
(convert and animate are ImageMagick tools)
Collect all PNG filenames in a list and join the list items to form the convert arguments
Run the convert program

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