Given the $harmonic\;numbers$ $$H_n=\sum_{k=1}^{n}\frac 1 k ,n\!>\!0,H_0=0$$ prove $$\sum_{k=0}^n H_k=(n+1)H_n-n$$ Also in the terminology according to the book A=B would you not agree that the $H_k$ cannot be identified as the terms in a hypergeometric series ? That is at least not a single hypergeometric series.
2026-04-01 22:47:49.1775083669
An identity satisfied by 'harmonic numbers'
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