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math.NT2009★ 20 cited
A simplified Binet formula for k-generalized Fibonacci numbers
Gregory P. Dresden
We present a particularly nice Binet-style formula that can be used to produce the k-generalized Fibonacci numbers (that is, the Tribonaccis, Tetranaccis, etc). Furthermore, we sho…
math.HO2009★ 1 cited
A New Approach to Rational Values of Trigonometric Functions
Gregory P. Dresden
It is well known that sin(aπ/b), cos(aπ/b), etc., are only rational numbers for a few select integers a and b. We show that this is equivalent to the fact that only for d = 1,2,3,4…