1. Partial sums of the Gibonacci sequence
- Author
-
Mahanta, Pankaj Jyoti
- Subjects
Mathematics::Group Theory ,Mathematics::Combinatorics ,Mathematics - Number Theory ,FOS: Mathematics ,Mathematics - Combinatorics ,11B39, 05A19 ,Combinatorics (math.CO) ,Number Theory (math.NT) - Abstract
Recently, Chu studied some properties of the partial sums of the sequence $P^k(F_n)$, where $P(F_n)=\big(\sum_{i=1}^nF_i\big)_{n\geq1}$ and $(F_n)_{n\geq1}$ 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., 6 pages, 1 figure
- Published
- 2021