SQL: Calculating day of the week across a range of years in T-SQL

I had a question from Dale Kerr the other day about whether we had a tool in our SDU Tools collection, that calculated the day of the week (i.e. Tuesday, Thursday) for a given day of the year, across a range of years.

We don't have a specific tool for that, but the a CTE returning the list of years makes it easy.

(UPDATE: SDU Tools version 21 will have WeekdayAcrossYears that implements this)

Here's an example:

The output is shown in the main image above.

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