PhD Candidate, School of Mathematical and Physical Sciences, University of Newcastle One of the most magical aspects of mathematics is the ability for complex and intricate structures to emerge from ...
In the paper, the authors establish two identities to express higher order derivatives and integer powers of the generating function of the Chebyshev polynomials of the second kind in terms of integer ...
RESEARCH TRIANGLE PARK – The latest edition of the WRAL TechWire Jobs Report shows a fourth consecutive drop in the total number of local job listings—to the lowest total number of postings for 2023 ...
Harry and Tom have each found a 4-digit perfect square, a 3-digit perfect cube and a 3-digit triangular number that use 10 different digits, but with no leading zero. A triangular number is one that ...
We all know the festive carol The Twelve Days of Christmas. Each day, "my true love" receives an increasing number of gifts. On the first day there is one gift, a partridge in a pear tree. On the ...
Non-linear sequences increase or decrease by different amounts each time. A number pattern is a series of numbers that follow a specific rule. Examples include: odd numbers, even numbers, square ...
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