Journal of Integer Sequences, Vol. 13 (2010), Article 10.4.6

Sum Relations for Lucas Sequences

Yuan He and Wenpeng Zhang
Department of Mathematics
Northwest University
Xi'an 710069
P. R. China


We establish four sum relations for Lucas sequences. As applications, we derive some combinatorial identities involving Lucas sequences that extend some known results.

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(Concerned with sequences A000032 A000045 A000129 A001045 A002203 A014551.)

Received March 5 2010; revised version received April 6 2010. Published in Journal of Integer Sequences, April 9 2010.

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