Some alternating sums of Lucas numbers

• Autorzy: Zvonko Čerin
• Języki publikacji: EN

Abstrakty

EN

We consider alternating sums of squares of odd and even terms of the Lucas sequence and alternating sums of their products. These alternating sums have nice representations as products of appropriate Fibonacci and Lucas numbers.

Słowa kluczowe

EN

Fibonacci numbers; Lucas numbers; integer sequences; alternating sums; 11B39; 11Y55

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2005
• Tom: 3
• Numer: 1
• Strony: 1-13

Daty

wydano

2005-03-01

online

2005-03-01

Twórcy

autor

Zvonko Čerin

• University of Zagreb

Bibliografia

• [1] Z. Čerin: On sums of odd and even terms of the Lucas sequence, (preprint).
• [2] V.E. Hoggatt, Jr.: Fibonacci and Lucas numbers, The Fibonacci Association, Santa Clara, 1979.
• [3] R. Knott: Fibonacci numbers and the Golden Section.http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fib.html.
• [4] N.J.A. Sloane: On-Line Encyclopedia of Integer Sequences,http://www.research.att.com/njas/sequences/.
• [5] S. Vajda: Fibonacci and Lucas numbers, and the Golden Section: Theory and Applications, Halsted Press, Chichester 1989.

Identyfikatory

DOI

10.2478/BF02475651