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Weak Hyper-Operational Etas and Euler Numbers - Printable Version

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Weak Hyper-Operational Etas and Euler Numbers - Catullus - 06/17/2022

The largest real number a such that, a weakly pentated to the x converges, as x grows larger and larger is about 1.584. It converges to about 2.439. Does anyone know of any closed forms for any of these numbers? Also maybe there should be symbols for those numbers. Do the etas and Eulers of weak hyper-operations converge? If so what do they converge to?