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The quinticahlah regiment is a series of numbers from E100#^#####100 to E100#^######90 defined using Cascading-E notation (i.e. beginning from quinticahlah and up to eneninto-quinticahlah).[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) quinticahlah E100#^#####100 $$f_{\omega^{\omega^5}}(100)$$ grand quinticahlah E100#^#####100#2 $$f_{\omega^{\omega^5}}^2(100)$$ quintitrigahlah E100#^#####100#^#####100 $$f_{\omega^{\omega^5}2}(100)$$ quintitergahlah E100#^#####100#^#####100#^#####100 $$f_{\omega^{\omega^5}3}(100)$$ deutero-quinticahlah E100#^#####*#^#####100 $$f_{\omega^{\omega^52}}(100)$$ trito-quinticahlah E100#^#####*#^#####*#^#####100 $$f_{\omega^{\omega^53}}(100)$$ teterto-quinticahlah E100#^#####*#^#####*#^#####*#^#####100 $$f_{\omega^{\omega^54}}(100)$$ pepto-quinticahlah E100#^######5 $$f_{\omega^{\omega^55}}(100)$$ exto-quinticahlah E100#^######6 $$f_{\omega^{\omega^56}}(100)$$ epto-quinticahlah E100#^######7 $$f_{\omega^{\omega^57}}(100)$$ ogdo-quinticahlah E100#^######8 $$f_{\omega^{\omega^58}}(100)$$ ento-quinticahlah E100#^######9 $$f_{\omega^{\omega^59}}(100)$$ dekato-quinticahlah E100#^######10 $$f_{\omega^{\omega^510}}(100)$$ isosto-quinticahlah E100#^######20 $$f_{\omega^{\omega^520}}(100)$$ trianto-quinticahlah E100#^######30 $$f_{\omega^{\omega^530}}(100)$$ saranto-quinticahlah E100#^######40 $$f_{\omega^{\omega^540}}(100)$$ peninto-quinticahlah E100#^######50 $$f_{\omega^{\omega^550}}(100)$$ exinto-quinticahlah E100#^######60 $$f_{\omega^{\omega^560}}(100)$$ ebdominto-quinticahlah E100#^######70 $$f_{\omega^{\omega^570}}(100)$$ ogdonto-quinticahlah E100#^######80 $$f_{\omega^{\omega^580}}(100)$$ eneninto-quinticahlah E100#^######90 $$f_{\omega^{\omega^590}}(100)$$

## Sources

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