Partial sums of the Gibonacci sequence

Abstract

Recently, Chu studied some properties of the partial sums of the sequence $P^k(F_n)$, where $P(F_n)=({\sum }_{i=1}^n{F}_i{)}_{n\ge 1}$ and $(F_n{)}_{n\ge 1}$ 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.

arXiv comment6 pages, 1 figure

References in corpus (1)

• Partial Sums of the Fibonacci Sequence