DEV Community

Abhishek Chaudhary
Abhishek Chaudhary

Posted on

N-th Tribonacci Number

The Tribonacci sequence Tn is defined as follows: 

T0 = 0, T1 = 1, T2 = 1, and Tn+3 = Tn + Tn+1 + Tn+2 for n >= 0.

Given n, return the value of Tn.

Example 1:

Input: n = 4
Output: 4
Explanation:
T_3 = 0 + 1 + 1 = 2
T_4 = 1 + 1 + 2 = 4

Example 2:

Input: n = 25
Output: 1389537

Constraints:

  • 0 <= n <= 37
  • The answer is guaranteed to fit within a 32-bit integer, ie. answer <= 2^31 - 1.

SOLUTION:

class Solution:
    def tribonacci(self, n: int) -> int:
        if n <= 2:
            return [0, 1, 1][n]
        a, b, c = 0, 1, 1
        for _ in range(n - 2):
            a, b, c = b, c, a + b + c
        return c
Enter fullscreen mode Exit fullscreen mode

Top comments (0)