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John D. Cook

Distinguishing variables from parameters Silver Rectangles and the Ways of Kings Derivative equals inverse Who you gonna believe: Grok or the docs? Brace expansion tree When will the decimals in a/b repeat? Height of harmonic numbers Hart’s theorem Incircles and Excircles of Pythagorean triangles Regular expressions that work “everywhere” Consecutive Pythagorean triangle sides The Star Trek lemma Lobachevsky’s integral formula Queens on a prime order board All pieces on a 6 by 5 board Formalizing a ring theorem with Lean 4 and Claude Partial fraction decomposition Three examples suffice Testing pentagonal numbers Quaternion Rotations, Claude, and Lean Writing Prolog with ChatGPT RSA munitions T-shirt Solving a chess puzzle with Claude and Prolog Formally proving a calculation with Claude and Lean Pulling on a thread Aitken acceleration before Aitken The Laplace limit A crank formula for π From Kepler to Bessel Mr. Bessel’s eponymous functions
Writing down harmonic numbers
John · 2026-06-27 · via John D. Cook
The nth harmonic number is the sum of the reciprocals of the first n positive integers. Hn = 1 + 1/2 + 1/3 + …