Here is a summary of the blog post in sentences:

The blog post discusses setting up a serverless architecture using Python, FastAPI, and SQLAlchemy with an Amazon RDS database backend. It highlights considerations when integrating RDS with AWS Lambda, such as configuring Lambda functions to run in the same VPC as RDS to minimize latency, using RDS Proxy to efficiently manage database connections, and securely managing database credentials. The post then walks through an example implementation using Terraform to manage the infrastructure, RDS Proxy to handle database connections, API Gateway and Lambda for the serverless functions, and FastAPI with SQLAlchemy for the Python application code and ORM. Key points covered include efficiently establishing database connections outside of the Lambda handler for reuse across invocations, leveraging Lambda Layers to improve performance, configuring API Gateway for proxy integration with the FastAPI app, and defining database models with SQLAlchemy. After deploying the infrastructure with Terraform, the resulting serverless API powered by RDS can be explored through auto-generated Swagger documentation.