SOME NEW AND OLD GIBONACCI IDENTITIES
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS（2022）
摘要
We present different combinatorial interpretations of Lucas and Gibonacci numbers. Using these interpretations, we prove several new identities and simplify the proofs of several known identities. Some open problems are discussed towards the end of the paper.
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关键词
Gibonacci numbers, Fibonacci numbers, Lucas numbers, combinatorial proofs, tilings
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