No, not quite. You would need to add something to clear the hash after it's pushed.

Not necessarily: one may want to clear it, or to modify some entries. Who knows?

my @array;
my %hash=(foo => 2, bar =>3);
for (1..4) {
    push @array, {%hash};
    %hash=(%hash, map { +"$_^2" => $hash{$_}**2 } keys %hash);
}
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Since the natural progression is a loop, you've just advocated the following:

I hadn't understood we were talking about a loop, in which case you're perfectly right, and I never imagined of having advocate what you claim I did.