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The quarticahlah regiment is a series of numbers from E100#^####100 to E100#^#####90 defined using Cascading-E notation (i.e. beginning from quarticahlah and up to eneninto-quarticahlah).[1] The numbers were coined by Sbiis Saibian.

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## List of numbers of the regiment

 Name of number Cascading-E notation (definition) Fast-growing hierarchy (approximation) quarticahlah E100#^####100 $$f_{\omega^{\omega^4}}(100)$$ grand quarticahlah E100#^####100#2 $$f_{\omega^{\omega^4}}^2(100)$$ quartitrigahlah E100#^####100#^####100 $$f_{\omega^{\omega^4}2}(100)$$ quartitergahlah E100#^####100#^####100#^####100 $$f_{\omega^{\omega^4}3}(100)$$ deutero-quarticahlah E100#^####*#^####100 $$f_{\omega^{\omega^42}}(100)$$ trito-quarticahlah E100#^####*#^####*#^####100 $$f_{\omega^{\omega^43}}(100)$$ teterto-quarticahlah E100#^####*#^####*#^####*#^####100 $$f_{\omega^{\omega^44}}(100)$$ pepto-quarticahlah E100#^#####5 $$f_{\omega^{\omega^45}}(100)$$ exto-quarticahlah E100#^#####6 $$f_{\omega^{\omega^46}}(100)$$ epto-quarticahlah E100#^#####7 $$f_{\omega^{\omega^47}}(100)$$ ogdo-quarticahlah E100#^#####8 $$f_{\omega^{\omega^48}}(100)$$ ento-quarticahlah E100#^#####9 $$f_{\omega^{\omega^49}}(100)$$ dekato-quarticahlah E100#^#####10 $$f_{\omega^{\omega^410}}(100)$$ isosto-quarticahlah E100#^#####20 $$f_{\omega^{\omega^420}}(100)$$ trianto-quarticahlah E100#^#####30 $$f_{\omega^{\omega^430}}(100)$$ saranto-quarticahlah E100#^#####40 $$f_{\omega^{\omega^440}}(100)$$ peninto-quarticahlah E100#^#####50 $$f_{\omega^{\omega^450}}(100)$$ exinto-quarticahlah E100#^#####60 $$f_{\omega^{\omega^460}}(100)$$ ebdominto-quarticahlah E100#^#####70 $$f_{\omega^{\omega^470}}(100)$$ ogdonto-quarticahlah E100#^#####80 $$f_{\omega^{\omega^480}}(100)$$ eneninto-quarticahlah E100#^#####90 $$f_{\omega^{\omega^490}}(100)$$

## Sources

1. Saibian, Sbiis. Cascading-E Numbers. Retrieved 2017-10-13.