Calculate Linear Recurrence Series

Calculate Linear Recurrence Series helps you explore sequences built from linear recurrence relations where each term is calculated from a fixed combination of previous terms. In this case, the formula used is T(n) = 1*T(n-1) + 2*T(n-2) starting with 2 and 5. It’s a simple variation with surprisingly complex behavior as the numbers grow.

The sequence updates live as you type, showing exactly how many terms you want (up to 1000). You get clean, line-by-line output you can copy or export. This is a great way to test algorithms, study recurrence patterns, or just play with numbers to see what happens.

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How to Use:

  1. Enter how many terms you want to generate (from 1 to 1000).
  2. Click “Generate” or just type to see the live results.
  3. The output appears on the right, one number per line.
  4. Click “Copy Output” to grab the sequence to your clipboard.
  5. Use “Export to File” to download it as a plain text file.
  6. Want to start over? Hit “Clear All” to reset everything.

Example:

Input:

10

Output:

2  
5  
9  
19  
37  
75  
149  
297  
593  
1185

This follows the custom rule: each value equals the previous plus twice the one before that.

Common Use Cases:

Calculate Linear Recurrence Series is great for math students studying advanced sequences, coders testing recursion logic, or anyone exploring numeric patterns outside of the classic Fibonacci model. It’s useful in simulations, classroom exercises, and anything that benefits from structured numerical data. You get fast generation, live feedback, and simple export options all in one place.

Useful Tools & Suggestions:

If you’re exploring recurrence patterns, Generate a Sequence of Squares gives you a steady baseline to compare against. And when you want to inspect your results visually, Visualize a List makes trends and jumps way easier to spot.

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