Connecting the Stirling numbers and $k$-bonacci sums
Combinatorics
2024-07-29 v1
Abstract
This paper proves why the Stirling numbers show up in a experimentally determined formula for the -bonaccis. We develop a bijection between a previously determined summation formula for -bonaccis and an experimentally determined formula, proven algebraically.
Cite
@article{arxiv.2407.18355,
title = {Connecting the Stirling numbers and $k$-bonacci sums},
author = {Muhammad Adam Dombrowski},
journal= {arXiv preprint arXiv:2407.18355},
year = {2024}
}
Comments
9 pages, 1 figure