Partial sums of the Gibonacci sequence
Abstract
Recently, Chu studied some properties of the partial sums of the sequence Pk(Fn), where P(Fn)=(Σi=1nFi)n≥1 and (Fn)n≥1 is the Fibonacci sequence, and gave its combinatorial interpretation. We generalize those results, introduce colored Schreier sets, and give another equivalent combinatorial interpretation by means of lattice path.
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