821 B
821 B
id | title | challengeType | forumTopicId | dashedName |
---|---|---|---|---|
5900f5201000cf542c510032 | Problem 435: Polynomials of Fibonacci numbers | 5 | 302106 | problem-435-polynomials-of-fibonacci-numbers |
--description--
The Fibonacci numbers {fn, n ≥ 0} are defined recursively as fn = fn-1 + fn-2 with base cases f0 = 0 and f1 = 1.
Define the polynomials {Fn, n ≥ 0} as Fn(x) = ∑fixi for 0 ≤ i ≤ n.
For example, F7(x) = x + x2 + 2x3 + 3x4 + 5x5 + 8x6 + 13x7, and F7(11) = 268357683.
Let n = 1015. Find the sum [∑0≤x≤100 Fn(x)] mod 1307674368000 (= 15!).
--hints--
euler435()
should return 252541322550.
assert.strictEqual(euler435(), 252541322550);
--seed--
--seed-contents--
function euler435() {
return true;
}
euler435();
--solutions--
// solution required