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The ecetondudex is equal to E303#1#3 = E303#(E303#1#2) = EE...EE303 (ecetondex E's) = 101010...1010303 (ecetondex 10's), using Hyper-E Notation.[1] The term was coined by Sbiis Saibian.

Etymology

The name "ecetondudex" can be separated into 3 parts, "eceton" (means 10303), "du" (which means 2) & "dex"s, where "-dex" means En#n#2, so 2 "-dex"s means the operation applying 2 times.

Approximations

Notation Lower bound Upper bound
Arrow notation $$100 \uparrow\uparrow 100 \uparrow\uparrow 10 \uparrow 303$$ $$101 \uparrow\uparrow 100 \uparrow\uparrow 10 \uparrow 303$$
Chained arrow notation $$100 \rightarrow (10 \rightarrow 10^{303} \rightarrow 2) \rightarrow 2$$ $$101 \rightarrow (10 \rightarrow 10^{303} \rightarrow 2) \rightarrow 2$$
BEAF $$\{100,\{10,\{10,303\},2\},2\}$$ $$\{101,\{10,\{10,303\},2\},2\}$$
Hyperfactorial array notation $$((168!)!1)!1$$ $$((169!)!1)!1$$
Bird's array notation $$\{100,\{10,\{10,303\},2\},2\}$$ $$\{101,\{10,\{10,303\},2\},2\}$$
Fast-growing hierarchy $$f_3(f_3(f_2(996)))$$ $$f_3(f_3(f_2(997)))$$
Hardy hierarchy $$H_{\omega^32+\omega^2}(996)$$ $$H_{\omega^32+\omega^2}(997)$$
Slow-growing hierarchy $$g_{\varepsilon_{\varepsilon_{\omega^\omega}}}(303)$$ $$g_{\varepsilon_{\varepsilon_{\omega^\omega}}}(304)$$

Sources

1. Saibian, Sbiis. Hyper-E Numbers. Retrieved 2015-03-07.

Main article: centillion
Eceton series: eceton (= centillion) · ecetonplex · ecetonduplex · ecetontriplex · ecetonquadriplex · ecetonquintiplex
Ecetondex series: ecetondex · ecetondudex · ecetontridex · ecetonquadridex · ecetonquintidex
Ecetonthrex series: ecetonthrex · ecetonduthrex
Ecetontetrex series: ecetontetrex · ecetondutetrex
Ecetonpentex series: ecetonpentex · ecetondupentex
Ecetonhex series: ecetonhex · ecetonduhex
Ecetonheptex series: ecetonheptex · ecetonduheptex
Ecetonoctex series: ecetonoctex · ecetonduoctex
Ecetonennex series: ecetonennex · ecetonduennex
Ecetondecex series: ecetondecex · ecetondudecex
Googol — Greagol
Greagol — Gugold
Throogol — Godgahlah-ex-grand godgahlah