廣義斐波那契數列及其性質（英文）

TABLE OF CONTENTS
LIST OF FIGURES
LIST OF TABLE
CHAPTER

1.TRODUCTION
1.1 Rabbit Problem

2.HISTORICAL BACKGROUND

3.FONACCI SEQUENCE
3.1 Fibonaccinumbers innature
3.2 The Fibonacci sequence even shows up in music
3.3 The Fibonacci spiral
3.4 Construction ofFibonacci spiral
3.5 second Order recursive sequences

4.GENERALED FIBONACCI SEQUENCES

5.PROPER.OF GENERALED FIBONACCI SEQUENCE
5.1 Generating function
5.2 Binet's formula
5.3 Limitofthequotientoftwo consecutiveterms
5.4 Catalan's identity
5.5 Cassini's identityor simpson's identity
5.6 docagnes's identity

6.SUM AND DIFFERENCE OF THE SQUARES OF THE EVEN GENERALIZED FIBONACCI NUMBERS

7.IDENTITIES OF GEN.FIBONACCI SEQUENCE

8.CONNECTION FORMULAS

9.ANOTHER IMPORTANT FORMULAE

10.IDENTITIES FOR THE COMMON FACTORS OF GEN.FIBO.,JACO.AND JACOBSTHAL-LUCAS NUMBERS

11.COMBINATORIAL FORMULAS INVOLVING GENERALIZED FIBONACCI SEQUENCE
11.1 series of Combinatorial Identities on φ(n,k)
11.2 series of Combinatorial Identmes on Ck(n)

12.CONCLUSION

13.BIBLIOGRAPHY

編輯手記