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leetcode-problemset/leetcode/problem/n-th-tribonacci-number.html
2022-03-29 15:21:05 +08:00

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<p>The Tribonacci sequence T<sub>n</sub> is defined as follows:&nbsp;</p>
<p>T<sub>0</sub> = 0, T<sub>1</sub> = 1, T<sub>2</sub> = 1, and T<sub>n+3</sub> = T<sub>n</sub> + T<sub>n+1</sub> + T<sub>n+2</sub> for n &gt;= 0.</p>
<p>Given <code>n</code>, return the value of T<sub>n</sub>.</p>
<p>&nbsp;</p>
<p><strong>Example 1:</strong></p>
<pre>
<strong>Input:</strong> n = 4
<strong>Output:</strong> 4
<strong>Explanation:</strong>
T_3 = 0 + 1 + 1 = 2
T_4 = 1 + 1 + 2 = 4
</pre>
<p><strong>Example 2:</strong></p>
<pre>
<strong>Input:</strong> n = 25
<strong>Output:</strong> 1389537
</pre>
<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>
<ul>
<li><code>0 &lt;= n &lt;= 37</code></li>
<li>The answer is guaranteed to fit within a 32-bit integer, ie. <code>answer &lt;= 2^31 - 1</code>.</li>
</ul>