The Generate Negalucas Numbers tool calculates the first N values of the Negalucas sequence using a reversed recurrence. Unlike standard Lucas numbers, the Negalucas sequence uses alternating signs. It starts with L₀ = 2 and L₋₁ = –1, with each new term formed from Lₙ = –Lₙ₋₂ + Lₙ₋₁. The tool handles all the math and updates results live.
Whether you’re studying recursive sequences, exploring number theory, or just curious about patterns, this browser-based tool gives you a fast, simple way to generate Negalucas terms.
How to Use:
- In the How many Negalucas numbers? box, enter a positive number like
10. - The tool automatically calculates that many terms starting from L₀.
- Results are displayed line-by-line in the Negalucas Sequence box.
- Click Copy Output to copy the results to clipboard.
- Use Export to File to download the output as a .txt file.
- Hit Clear All to reset both fields and try again.
What Generate Negalucas Numbers can do:
This tool calculates values in the Negalucas sequence using the rule Lₙ = –Lₙ₋₂ + Lₙ₋₁, beginning with 2 and –1. The sequence flips in sign as it builds, revealing interesting symmetry and patterns. You can copy or export the results, and every time you change the input, the output refreshes automatically. There’s also a dynamic counter showing how many numbers were generated.
Perfect for demos, math experiments, or coding exercises.
Example:
Input:
10Output:
2
-1
-3
-2
1
3
2
-1
-3
-2Common Use Cases:
Generate Negalucas Numbers is useful for classrooms, algorithm exploration, and anyone diving into negative-indexed linear recursions. It’s a quick and easy way to visualize how the Negalucas sequence unfolds and observe how alternating recursion behaves all with one number and a single click.
Useful Tools & Suggestions:
Try Generate Lucas Primes if you want to explore how negalucas numbers compare to their more traditional counterparts. And for a bit of structure checking, Find Entropy of a Number can give you a feel for how chaotic or patterned your sequence is.