# Equivalence of OEIS A007729 and A174868

## TL;DR

This paper confirms that the sixth binary partition function matches the partial sums of the Stern-Brocot sequence, establishing an equivalence between two mathematical sequences.

## Contribution

It proves the conjecture that these two sequences are equal, providing a new link between binary partitions and the Stern-Brocot sequence.

## Key findings

- Confirmed the conjecture relating the sixth binary partition function to Stern-Brocot partial sums.
- Established the equivalence of OEIS sequences A007729 and A174868.
- Validated the conjecture through mathematical verification.

## Abstract

We verify the conjecture that the sixth binary partition function is equal (aside from the initial zero term) to the partial sums of the Stern-Brocot sequence.