# Statistical distribution of the Stern sequence

## TL;DR

This paper proves that the Stern diatomic sequence follows a normal distribution asymptotically on a logarithmic scale, using complex moments and transfer operator analysis.

## Contribution

It introduces a novel approach to analyze the distribution of the Stern sequence through complex moments and transfer operators.

## Key findings

- Stern sequence is asymptotically normally distributed on a log scale
- Use of complex moments to study sequence distribution
- Analytic properties of transfer operators are key to the proof

## Abstract

We prove that the Stern diatomic sequence is asymptotically distributed according to a normal law, on a logarithmic scale. This is obtained by studying complex moments, and the analytic properties of a transfer operator.

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Source: https://tomesphere.com/paper/1704.05253