Is there a way in Javascript to define a function and immediately call it, in a way that allows it to be reused?

I know you can do one-off anonymous functions:

(function(i) {

    var product = i * i;

    console.log(product);

    // Can't recurse here because there's no (ECMA standard) way for the 

    // function to refer to itself

}(2)); // logs 4

Or you can name a function then call it afterwards:

function powers(i) {

    var product = i * i;

    console.log(i * i);

    if (product < 1e6) { powers(product) };

}



powers(2); // Logs 4, 16, 256...

But is there a cleaner way of defining and calling a function in one go? Sort of like a hybrid of both examples?

Not being able to do this isn't preventing me from doing anything, but it feels like it would be a nice expressive way to write recursive functions or functions that need to be run on $(document).ready() but also later when situations change, etc.