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The phrase "a random sequence of" is correct and usable in written English.
It can be used when describing a series of items, events, or elements that occur without a specific order or pattern.
Example: "The experiment generated a random sequence of numbers that were used for the statistical analysis."
Alternatives: "an arbitrary arrangement of" or "a haphazard series of".
Exact(60)
It can, they say, be less a meal than a random sequence of events.
But music is rarely just a random sequence of these 12 notes.
Independently, a random sequence of tones was presented.
Simply counting the photons that are reflected or transmitted produces a random sequence of 0s and 1s.
A constitutional disorder due to a random sequence of amide and imide groups was found.
Columnist Oliver Burkeman recommends "shuffling your thoughts" – a technique that involves mentally picturing a random sequence of objects for a few seconds.
The cognitive shuffle involves mentally picturing a random sequence of objects for a few seconds each: a cow; a microphone; a loaf of bread, and so on.
As a random sequence of letters is heard over earphones, a square appears on a computer screen moving, apparently at random, among eight possible spots on a grid.
Accordingly, we expect a random sequence of positive (green) and negative (red) particles in the chains formed in the DEP field (structure B1).
A large pseudo-helical polystyrene backbone is formed by a random sequence of TT, TG, and/or TTGG.
Psychol. 1, 5 31], which entails the generation of a random sequence of button presses, was claimed to capture stereotypy.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com