| viXra.org > Number Theory > viXra:1402.0119 |
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| viXra.org > Number Theory > viXra:1402.0119 |
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Number Theory |
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Authors: Marius Coman
In one of my previous papers, “An ordered set of certain seven numbers that results constantly from a recurrence formula based on Smarandache function”, combining two of my favorite topics of study, the recurrence relations and the Smarandache function, I discovered that the formula f(n) = S(f(n – 2)) + S(f(n – 1)), where S is the Smarandache function and f(1), f(2) are any given different non-null positive integers, seems to lead every time to a set of seven values (i.e. 11, 17, 28, 24, 11, 15, 16) which is then repeating infinitely. In this paper I show few other interesting patterns based on recurrence and Smarandache function and I define the Smarandache-Coman constants.
Comments: 3 Pages.
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[v1] 2014-02-18 11:52:11
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