# The Frobenius number for sequences of triangular and tetrahedral numbers

## TL;DR

This paper calculates the Frobenius number for sequences of triangular and tetrahedral numbers and explores properties of the related numerical semigroups.

## Contribution

It provides explicit Frobenius numbers for these sequences and analyzes their associated numerical semigroups, which was previously unexplored.

## Key findings

- Frobenius numbers for triangular and tetrahedral sequences are explicitly computed
- Properties of the numerical semigroups generated by these sequences are characterized
- New insights into the structure of these semigroups are presented

## Abstract

We compute the Frobenius number for sequences of triangular and tetrahedral numbers. In addition, we study some properties of the numerical semigroups associated to those sequences.