• 0 Vote(s) - 0 Average
• 1
• 2
• 3
• 4
• 5
 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

 Possibly Related Threads… Thread Author Replies Views Last Post Formula for the Taylor Series for Tetration Catullus 8 958 06/12/2022, 07:32 AM Last Post: JmsNxn Extrapolated Faá Di Bruno's Formula Xorter 1 5,003 11/19/2016, 02:37 PM Last Post: Xorter Explicit formula for the tetration to base $$e^{1/e}$$? mike3 1 5,969 02/13/2015, 02:26 PM Last Post: Gottfried fractional iteration by schröder and by binomial-formula Gottfried 0 4,283 11/23/2011, 04:45 PM Last Post: Gottfried simple base conversion formula for tetration JmsNxn 0 4,998 09/22/2011, 07:41 PM Last Post: JmsNxn Change of base formula using logarithmic semi operators JmsNxn 4 12,995 07/08/2011, 08:28 PM Last Post: JmsNxn Non-recursive coefficient formulas. Can the Riemann mapping be constructed? mike3 0 3,942 06/04/2011, 12:17 AM Last Post: mike3 Breaking New Ground In The Quest For The "Analytical" Formula For Tetration. mike3 5 14,132 05/09/2011, 05:08 AM Last Post: mike3 Constructing the "analytical" formula for tetration. mike3 13 30,368 02/10/2011, 07:35 AM Last Post: mike3 One very important formula Ansus 7 17,937 11/03/2010, 04:21 AM Last Post: Ansus

Users browsing this thread: 1 Guest(s)