Tethrahepton regiment

The tethrahepton regiment is a series of numbers from E100#^^#^#7 to E100#^^(#^8)90 defined using Extended Cascading-E Notation (i.e. beginning from tethrahepton and up to enenintastaculated-tethrahepton). The numbers were coined by Sbiis Saibian.

List of numbers of the regiment
{| class="article-table" border="0" cellpadding="1" cellspacing="1"
 * Name of number
 * Extended Cascading-E Notation (exact equality)
 * Fast-growing hierarchy (approximation)
 * Hardy hierarchy (approximation)
 * tethrahepton, tethrahepteract
 * E100#^^#^#7
 * \(f_{\varphi(7,0)}(100)\)
 * \(H_{\varphi(7,0)}(100)\)
 * grand tethrahepton
 * E100#^^#^(7)100#2
 * \(f_{\varphi(7,0)}^2(100)\)
 * \(H_{\varphi(7,0)\times 2}(100)\)
 * grangol-carta-tethrahepton
 * E100#^^#^(7)100#100
 * \(f_{\varphi(7,0)+1}(100)\)
 * \(H_{\varphi(7,0)\times \omega}(100)\)
 * grand grangol-carta-tethrahepton
 * E100#^^#^(7)100#100#2
 * \(f_{\varphi(7,0)+1}^2(100)\)
 * \(H_{\varphi(7,0)\times \omega.2}(100)\)
 * grand grangol-carta-tethrahepton
 * E100#^^#^(7)100#100#2
 * \(f_{\varphi(7,0)+1}^2(100)\)
 * \(H_{\varphi(7,0)\times \omega.2}(100)\)

Etymology
Some names of the numbers of this regiment are based on names of other Saibian's numbers, such as:


 * godgahlah (E100#^#100)
 * tethrathoth (E100#^^#100)
 * tethracross (E100#^^##100)
 * tethracubor (E100#^^###100)
 * tethrateron (E100#^^####100)
 * tethrapeton (E100#^^#^#5 = E100#^^#####100)
 * tethrahexon (E100#^^#^#6)