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.
@article{bwmeta1.element.doi-10_2478_BF02475651,
author = {Zvonko \v Cerin},
title = {Some alternating sums of Lucas numbers},
journal = {Open Mathematics},
volume = {3},
year = {2005},
pages = {1-13},
zbl = {1196.11027},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_BF02475651}
}
Zvonko Čerin. Some alternating sums of Lucas numbers. Open Mathematics, Tome 3 (2005) pp. 1-13. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_BF02475651/
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