1 citations · 1 across the 4 of their papers we have counts for
4 papers
Chebyshev Polynomials, Sliding Columns, and the -step Fibonacci Numbers
Greg Dresden
We give a direct and intuitive proof (via sliding some columns up and down) of the following interesting fact: if we write out the Chebyshev polynomials in a chart and take the sum…
On the Middle Coefficient of a Cyclotomic Polynomial
Gregory Dresden
In this article, we provide a short and elementary proof of the following result: For the middle coefficient of is either zero (when is a power of ) or a…
Two Irrational Numbers That Give the Last Non-Zero Digits of and
Gregory Dresden
If we form a decimal where the nth digit is the last non-zero digit of (likewise, the last non-zero digit of ), we obtain an irrational number
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…