Published December 12, 2025
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Summation Formulas for Negative-Indexed Fibonacci and Lucas Numbers
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Description
This paper investigates summation formulas for Fibonacci and Lucas numbers with negative
indices. The goal is to derive explicit expressions for these sums and to identify structural
patterns.
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Negative_Lucas_Fibo.pdf
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References
- https://oeis.org/A000032
- https://oeis.org/A039834
- https://oeis.org/A000045
- https://mathworld.wolfram.com/GoldenRatio.html
- https://mathworld.wolfram.com/BinomialTheorem.html
- 10.14445/22315373/IJMTT-V10P503
- https://mathworld.wolfram.com/LucasNumber.html
- https://proofwiki.org/wiki/Sum_of_Sequence_of_Squares_of_Fibonacci_Numbers