--description--

Given is the function $f(x) = ⌊{2}^{30.403243784 - x^2}⌋ × {10}^{-9}$ ( ⌊ ⌋ is the floor-function), the sequence $u_n$ is defined by $u_0 = -1$ and $u_{n + 1} = f(u_n)$.

Find $u_n + u_{n + 1}$ for $n = {10}^{12}$. Give your answer with 9 digits after the decimal point.

--hints--

recursivelyDefinedSequence() should return 1.710637717.

assert.strictEqual(recursivelyDefinedSequence(), 1.710637717);

--seed--

--seed-contents--

function recursivelyDefinedSequence() {

  return true;
}

recursivelyDefinedSequence();

--solutions--

// solution required