Number Theory

   

An Ordered Set of Certain Seven Numbers that Results Constantly from a Recurrence Formula Based on Smarandache Function

Authors: Marius Coman

Combining two of my favorite topics of study, the recurrence relations and the Smarandache function, I discovered a very interesting pattern: seems like the recurrent 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, leads every time to a set of seven values (i.e. 11, 17, 28, 24, 11, 15, 16) which is then repeating infinitely.

Comments: 2 Pages.

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Submission history

[v1] 2014-01-30 16:23:31

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