Remarks on sequences generated by harmonic numbers

Authors: A. S. Stevanović, I. Ž. Milovanović, E. I. Milovanović

Keywords: Harmonic numbers; monotony sequences; recurrent sequences

Abstract:

A monotonicity of sequences generated by the harmonic numbers is proved in this paper.

References:

[1] Conway, J.H., Guy, R.K. (1996) The book of numbers. Copernikus [2] Fleron, J.F. (1999) Gabriel’s Wedding Cake. College Mathematics Journal, 30(1): 35 [3] Graham, R.L., Knuth, D.E., Patashnik, O. (1994) Concrete mathematics – a foundation for computer science. Upper Saddle River: Addison-Wesley [4] Lagarias, J.C. (2002) An elementary problem equivalent to the Reimann hypothesis. Amer. Math. Montly, 109, 534-543