An idiomatic way to sum up values in a multidimensional Array

Yesterday I played around a bit with a little programming exercise:

Calculate the sum of an array which contains integers and other arrays with integers.
For example: array_sum([1,2,[3,4,[5]]]) would return 15.

Here's my Python and PHP solutions:

Coming from dynamically typed languages it was surprisingly hard to wrap my head around a strongly typed solution.
I have an idea on how to solve this in Rust, although it might not be the most idiomatic.
Therefore I'd like to hear from you what would be a "Rustic" way to solve this problem.
Since I don't want to influence you in any way I will not post my solution just yet.
Bonus points if you can make your solution generic enough to also handle other collection types.

Here's one option that makes use of IntoIterator:

fn main() {
    println!("{}", sum(vec![vec![1, 2], vec![3], vec![4, 5, 6]]));
}

fn sum<T, U, V>(i: U) -> T
    where T: Sum,
          U: IntoIterator<Item = V>,
          V: IntoIterator<Item = T>
{
    i.into_iter().flat_map(IntoIterator::into_iter).sum()
}

It consumes the parameter, but can probably make it work with an IntoIterator that returns references.

Oh wow! That looks pretty good. Thanks for that @vitalyd!

This one is pretty cool.