Math - Infinite Series

A Recursive Formulation for an Infinite Series.   
I stumbled upon this recursive infinite series in 1980 as a Mathematics undergraduate at the University of Minnesota.
It was fun to explore and work out a definition for recursive function Phi(m). 
Mathematician Leonard Euler investigated a similar infinite series in 1755. 
Today Eulerian Numbers and Eulerian Polynomials have their own Wikipedia Page. 

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