Fibonacci numbers, generating sets and hexagonal properties

Fibonacci Quarterly

Volumn 38, Issue 4, 2000, Pages 299-309

  Tanton, James S ^a  

^a MERRIMACK COLLEGE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034346509     PISSN: 00150517     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (15)

1. Shiro Ando & Daihachiro Sato. "A GCD Property on Pascal's Pyramid and the Corresponding LCM Property of the Modified Pascal Pyramid." In Applications of Fibonacci Numbers 3:7-14. Ed. G. E. Bergum et al. Dordrecht: Kluwer, 1990.
2. Shiro Ando & Daihachiro Sato. "Translatable and Rotatable Configurations Which Give Equal Product, Equal GCD and Equal LCM Properties Simultaneously." In Applications of Fibonacci Numbers 3:15-26. Ed. G. E. Bergum et al. Dordrecht: Kluwer, 1990.
3. Shiro Ando & Daihachiro Sato. "On the Proof of GCD and LCM Equalities Concerning the Generalized Binomial and Multinomial Coefficients." In Applications of Fibonacci Numbers 4:9-16. Ed. G. E. Bergum et al. Dordrecht: Kluwer, 1991.
4. Shiro Ando & Daihachiro Sato. "A Necessary and Sufficient Condition that Rays of a Star Configuration on Pascal's Triangle Cover Its Center With Respect to GCD and LCM." In Applications of Fibonacci Numbers 5:11-36. Ed. G. E. Bergum et al. Dordrecht: Kluwer, 1993.
5. Shiro Ando & Daihachiro Sato. "On the Minimal Center Coverings Stars With Respect to GCD in Pascal's Pyramid and Its Generalizations." In Applications of Fibonacci Numbers 5:37-46. Ed. G. E. Bergum et al. Dordrecht: Kluwer, 1993.
6. R. P. Grimaldi. "Generating Sets and the Fibonacci Numbers." Congressus Numerantium 110 (1995):129-36.
7. H. W. Gould. "A New Greatest Common Divisor Property of the Binomial Coefficients." The Fibonacci Quarterly 10 (1972):579-84, 628.
8. A. P. Hillman & V. E. Hoggatt, Jr. "A Proof of Gould's Pascal Hexagon Conjecture." The Fibonacci Quarterly 10 (1972):565-68, 598.
9. V. E. Hoggatt, Jr., & G. L. Alexanderson. "A Property of Multinomial Coefficients." The Fibonacci Quarterly 9 (1971):351-56, 420-21.
10. V. E. Hoggatt, Jr., & W. Hansell. "The Hidden Hexagon Squares." The Fibonacci Quarterly 9(1971):120, 133.
11. C. T. Long & Shiro Ando. "Two Generalizations of Gould's Star of David Theorem." In Applications of Fibonacci Numbers 4:219-30. Ed. G. E. Bergum et al. Dordrecht: Kluwer, 1991.
12. C. T. Long & V. E. Hoggatt, Jr. "Sets of Binomial Coefficients and Equal Products." The Fibonacci Quarterly 12.1 (1974):71-79.
13. C.L. Moore. "More Hidden Hexagon Squares." The Fibonacci Quarterly 11 (1973):525.
14. D. Singmaster. "Notes on Binomial Coefficients: IV-Proof of a Conjecture of Gould on the GCD's of Two Triples of Binomial Coefficients." The Fibonacci Quarterly 11 (1973):282-284.
15. E. G. Strauss. "On the Greatest Common Divisor of Some Binomial Coefficients." The Fibonacci Quarterly 11 (1973):25-26.