There is a non recursive formula for T(x,k)? marraco Fellow Posts: 100 Threads: 12 Joined: Apr 2011 12/17/2020, 03:48 PM (This post was last modified: 12/22/2020, 12:04 PM by marraco.) Consider the tetration of the function $\vspace{15}{e^x}$ $^n(e^x)=(e^x)_1^{(e^x)_2^{(e^x)_2^{_..^{.e^x_n}}}}$ For a natural number n, the taylor series of that function is $^n(e^x)=\sum_{k=0}^{\infty}\frac{1}{k!}*T(n,k)*x^k$ where $\vspace{15}{T(n,k)}$ is the OEIS A210725; When k

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