freeCodeCamp/problem-435-polynomials-of-fibonacci-numbers.english.md at 92377cf71af628cb5ea6b28ff7d6fa66a9b52449

mrugesh 22afc2a0ca feat(learn): python certification projects (#38216 )

Co-authored-by: Oliver Eyton-Williams <ojeytonwilliams@gmail.com>
Co-authored-by: Kristofer Koishigawa <scissorsneedfoodtoo@gmail.com>
Co-authored-by: Beau Carnes <beaucarnes@gmail.com>

2020-05-27 13:19:08 +05:30

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id, challengeType, isHidden, title, forumTopicId

id	challengeType	isHidden	title	forumTopicId
5900f5201000cf542c510032	5	false	Problem 435: Polynomials of Fibonacci numbers	302106

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!).

Instructions

Tests

tests:
  - text: <code>euler435()</code> should return 252541322550.
    testString: assert.strictEqual(euler435(), 252541322550);

Challenge Seed

function euler435() {
  // Good luck!
  return true;
}

euler435();

Solution

// solution required

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