The Pursuit of Happyness

Authors

  • Roberto Ben Universidad de Buenos Aires - Universidad Nacional de General Sarmiento. Instituto del Desarrollo Humano
  • Agustín Besteiro Universidad Abierta Interamericana. Centro de Altos Estudios en Tecnología Informática
  • Antonio Cafure Universidad Nacional de General Sarmiento. Instituto del Desarrollo Humano
  • Darío Devia Universidad de Buenos Aires - Universidad Nacional de General Sarmiento. Instituto de Ciencias
  • Diego Rial Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales

DOI:

https://doi.org/10.33044/revem.38728

Keywords:

Evolution, Sequences, Happy Numbers

Abstract

Perhaps natural numbers are the most basic living beings, the original cells of that vital, fertile, complex and unbounded network that is mathematical activity. They are subject to various laws of evolution that we ourselves can define, according to our complete whim, as many as our imagination allows. Perhaps, if we are lucky, we will be able to predict what evolution is like under each law that we impose. Perhaps, if we are lucky, we can find happiness

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References

El-Sedy, E., y Siksek, S. (2000). On happy numbers. Rocky Mt. J. Math., 30(2), 565–570.

Descargado de math.la.asu.edu/~rmmc/rmj/VOL30-2/CONT30-2/CONT30-2.html doi: 10.1216/rmjm/1022009281

Gilmer, J. (2013). On the density of happy numbers. Integers, 13, paper a48, 25.

Grundman, H. G., y Teeple, E. A. (2001). Generalized happy numbers. Fibonacci Q., 39(5), 462–466.

Guy, R. (1994). Unsolved problems in number theory. (2nd ed. ed.). New York, NY: Springer-Verlag.

Honsberger, R. (1998). Ingenuity in mathematics. (6th printing ed., Vol. 23). Washington, DC: Mathematical Association of America.

Styer, R. (2010). Smallest examples of strings of consecutive happy numbers. J. Integer Seq., 13(6), 10. (Id/No 10.6.3)

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Published

2022-09-07

Issue

Section

Artículos de Matemática

How to Cite

[1]
Ben, R. et al. 2022. The Pursuit of Happyness. Revista de Educación Matemática. 37, 2 (Sep. 2022), 30–45. DOI:https://doi.org/10.33044/revem.38728.