Make a recursive function in JavaScript

I am trying to make a recursive function for this parameters. Function should determine the nth element of the row

a_0 = 1
a_k = k*a_(k-1) + 1/k
k = 1,2,3...

I am trying really hard to do this but i cant get a result. Please help me to do this

I came up with this but it is not a recursive function. I can not do this as a recursive function

let a = 1
let k = 1
let n = 3
for (let i = 1; i<=n; i++){
    a = i*a + 1/i
}
console.log(a)

>Solution :

Here’s the recursive function you’re looking for, it has two conditions:

• k == 0 => 1
• k != 0 => k * fn(k - 1) + 1/k

function fn(k) {
  if(k <= 0) return 1;
  return k * fn(k - 1) + 1/k;
}

console.log(fn(1));
console.log(fn(2));
console.log(fn(3));
console.log(fn(4));

Note: I changed the condition of k == 0 to k <= 0 in the actual function so it won’t stuck in an infinite loop if you pass a negative k