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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