Monday, November 10, 2008

Domingo Gómez Morín


This graph represent the solution to the equation:

Fn = 3Fn - 1 + 3Fn - 2 + Fn - 3

This equation connects three previous values, to the fourth one, so one needs to give three initial values. For this case I chose:

F1 = 3 , F2 = 15 , F3 = 57.

The solution tends to (1 + 21/3 + 22/3)n, as n increases.

According to Gómez Morín, this equation helps us get a periodic generalized continued fraction for these cubic roots of integer coefficient polynomials.

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