A BASIC LINEAR RECURSIVE SEQUENCE OF ARBITRARY ORDER

키워드

참고문헌 (14)

1. Bell,E.T, "Notes on Recurring Series of the Third Order", Tôhoko Mathematical Journal, 24, pp.168~184 (1924)
2. Carlitz,L, "Some Arithmetic Sums Connected with the Greatest Integer Function", Mathematica Scandinavica, 8, pp.59~64 (1960)
3. Dickson,L.E, "History of the Theory of Numbers.Volume 1" (1952), Chelsea
4. Gootherts,G.W, "a Linear Algebra Constructed from Fibonacci Sequences,Part I:Fundamentals and Polynomial Interpretations", The Fibonacci Quarterly, 6, pp.35~43 (1968)
5. Horadam,A.F, "Generating Functions for Powers of a Certain Generalized Sequence of Numbers", Duke Mathematical Journal, 32, pp.437~446 (1965)
6. Hunter,J, "Number Theory", pp.22~23 (1964), Oliver and Boyd
7. Jarden,Dov, "Recurring Sequences" (1966), Riveon Lematematika
8. Lucas,Edouard, "Théorie des fonctions numériques simplement périodiques", American Journal of Mathematics, 1, pp.184~321 (1878)
9. Philippou,A.N, "Distributions and Fibonacci Polynomials of Order k,Longest Run.and Reliability of Consecutive-k-Out-of-n:F Systems.In Fibonacci Numbers and Their Applications.Volume 1", pp.203~227 (1986), Kluwer
10. Shannon,A.G, "The Jacobi-Perron Algorithm and the Algebra of Recursive Sequences", Bulletin of the Australian Mathematical Society, 8, pp.261~277 (1973)
11. Turner,S.J, "Probability via the Nth Order Fibonacci-T-Sequence", The Fibonacci Quarterly, 17, pp.23~28 (1979)
12. Williams, H.C, "On a Generalization of the Lucas Functions", Acta Arithmetica, 20, pp.33~51 (1972)
13. Williams, H.C, "Fibonacci Numbers Obtained from Pascal’s Triangle with Generalizations", The Fibonacci Quarterly, 10, pp.405~412 (1972)
14. Williams,K.S, "A Generalization of Cardano’s Solution of the Cubic", The Mathematical Gazette, XLVI(357), pp.221~223 (1962)

관련 논문AI추천