More properties of the Ramanujan sequence

Andrew Bakan, Stephan Ruscheweyh, Luis Salinas

The Ramanujan sequence $\{{\theta }_n{\}}_{n\ge 0}$, defined as $$ θ_{0}= \frac{1}{2} \ , \ \ \ θ_{n} = \left(\ \ \frac{e^{n}}{2} - \sum_{k=0}^{n-1} \frac{n^{k}}{k !} \ \ \right) \cdot…