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Bernoulli numbers are a sequence of numbers important to the field of number theory, trigonometric expansions, and analysis. Ada Lovelace wrote a theoretical program to calculate these that would work on Charles Babbage's unfinished Analytical Engine. It's pretty interesting how Lovelace was a "leading figure" in the now massively male-dominated computer programming field, but didn't receive recognition for her work until fairly recently.

See also Riley's bookmark and my comments on it.