-Nacci Sequence and Its Role in Virus Mutation
Abstract
:1. Introduction
2. Basic Concepts of Fibonacci Sequence
3. Coefficients of the Generalized Fibonacci Equation
4. -Nacci Sequence: A Generalization
5. Golden Ratio for -Nacci Sequence
6. The Generalization of Other Fibonacci-like Sequence
7. Virus Mutation
8. Fibonacci Numbers in Virus Mutation
- (i)
- Generalized m-Fibonacci sequence:
- (ii)
- m-step Fibonacci sequence:
- (iii)
- -Nacci sequence:
9. Fibonacci Risk Modeling
9.1. Fibonacci Risk Formula
9.2. Criticality Risk Values
9.3. Activity Risk
9.4. Activity Risk Values
9.5. Risk Activity for Tribonacci Sequence
9.6. Risk Metrics
- (i)
- Reduce compression to 0.5: a risk of 0.5 is the optimal decompression target, since it aims to reduce the risk to its lowest possible level.
- (ii)
- Do not decompress too much: decompression above the decompression range has a negative value, and over-decompression increases the danger.
- (iii)
- Normal solutions should not exceed 0.75: if a risk of 0.3 is the lower bound for all solutions, then a risk of 0.75 is the upper bound for a normal solution. High-risk normal solutions should always be decompressed.
10. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Name of the Sequence | Fibonacci | Tribonacci | Tetranacci | ⋯ |
---|---|---|---|---|
Generalization | ⋯ | |||
Lucas | ⋯ | |||
Pell | ⋯ | |||
Pell–Lucas | ⋯ | |||
Modified Pell | ⋯ | |||
Jacobsthal | ⋯ | |||
Jacobsthal–Lucas | ⋯ | |||
Modified Jacobsthal | ⋯ | |||
Jacobsthal–Perrin | ⋯ | |||
Adjusted Jacobsthal | ⋯ | |||
Modified Jacobsthal–Lucas | ⋯ | |||
Narayana | ⋯ | |||
Primes | ⋯ | |||
Lucas-Primes | ⋯ | |||
Modified Primes | ⋯ | |||
Padovan–Perrin | ⋯ | |||
⋮ | ⋮ | ⋮ | ⋮ | ⋱ |
For | List of Sequences | Golden Ratio |
---|---|---|
-Nacci Names | List of -Nacci Sequence | Golden Ratio |
---|---|---|
h-Fibonacci | ||
h-Tribonacci | ||
h-Tetranacci | ||
h-Pentanacci | ||
h-Hexanacci | ||
h-Heptanacci | ||
Parameters | Description |
---|---|
Low risk level activity | |
Medium-Low risk level activity | |
Medium risk level activity | |
Medium-High risk level activity | |
High risk (critical) level activity | |
Number of Low risk activities | |
Number of Medium-Low risk activities | |
Number of Medium risk activities | |
Number of Medium-High risk activities | |
Number of High risk (critical) activities |
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Alhazmi, M.; Venchislas, R.S.; Gnanamuthu, G.T.; Perumal, C.; Hilali, S.O.; Alsaeedi, M.; Natarajan, A.; Gnanaprakasam, B.A.X.
Alhazmi M, Venchislas RS, Gnanamuthu GT, Perumal C, Hilali SO, Alsaeedi M, Natarajan A, Gnanaprakasam BAX.
Alhazmi, Muflih, Rexma Sherine Venchislas, Gerly Thaniel Gnanamuthu, Chellamani Perumal, Shreefa O. Hilali, Mashaer Alsaeedi, Avinash Natarajan, and Britto Antony Xavier Gnanaprakasam.
2024. "