# Some alternating sums of Lucas numbers

Open Mathematics (2005)

- Volume: 3, Issue: 1, page 1-13
- ISSN: 2391-5455

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topZvonko Čerin. "Some alternating sums of Lucas numbers." Open Mathematics 3.1 (2005): 1-13. <http://eudml.org/doc/268860>.

@article{ZvonkoČerin2005,

abstract = {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.},

author = {Zvonko Čerin},

journal = {Open Mathematics},

keywords = {11B39; 11Y55},

language = {eng},

number = {1},

pages = {1-13},

title = {Some alternating sums of Lucas numbers},

url = {http://eudml.org/doc/268860},

volume = {3},

year = {2005},

}

TY - JOUR

AU - Zvonko Čerin

TI - Some alternating sums of Lucas numbers

JO - Open Mathematics

PY - 2005

VL - 3

IS - 1

SP - 1

EP - 13

AB - 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.

LA - eng

KW - 11B39; 11Y55

UR - http://eudml.org/doc/268860

ER -

## References

top- [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/. Zbl1274.11001
- [5] S. Vajda: Fibonacci and Lucas numbers, and the Golden Section: Theory and Applications, Halsted Press, Chichester 1989.

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