An introduction to hyperharmonic numbers

• Autores: José Luis Cereceda
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 46, Nº. 3, 2015, págs. 461-469
• Idioma: inglés
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• Resumen

  • In this note, we deal with a generalization of the harmonic numbers proposed by Conway and Guy in their Book of Numbers, namely, the so-called hyperharmonic numbers. Our main aim is to prove, by mathematical induction, the formula defining the hyperharmonic numbers in terms of ordinary harmonic numbers. Moreover, we calculate the hyperharmonic numbers as the derivative of a certain binomial coefficient.