E-Z Sequence
I derive the E-Z Sequence and provide a proof of correctness. Applications of the E-Z Sequence include to calculate primes. When the E-Z Sequence is compared to itself at every value of z, we are able to find every natural divisor of every natural number. I wrote this publication while studying the Theory of Computation.
Turing Machine to Compute Binary Carry Sequence
Despite the fact that the Binary Carry sequence appears to be a relevant and valuable sequence, little research has been conducted towards the applications of the sequence to practical mathematical problems. We have created a Turing machine that accurately computes each value of the Binary Carry sequence. We are optimistic that the development of this Turing machine will assist and promote further research on the topic and prompt new discoveries in the math world.