Pell and Pell Lucas Numbers with Applications
Preface. List of Symbols. Abbreviations. 1. Fundamentals. 2. Pell's Equation. 3. Continued Fractions. 4. Pythagorean Triples. 5. Triangular Numbers. 6. Square Triangular Numbers. 7. Pell and Pell Lucas Numbers. 8. Additional Pell Identities. 9. Pascal's Triangle and the Pell Family. 10. Pell Sums and Products. 11. Generating Functions for the Pell Family. 12. Pell Walks. 13. Pell Triangles. 14. Pell and Pell Lucas Polynomials. 15. Pellonometry. 16. Pell Tilings. 17. Pell Fibonacci Bridges. 18. An Extended Pell Family. 19. Chebyshev Polynomials. 20. Chebyshev Tilings. Appendix. References. Index.