Enneation or nonation refers to the 9th hyperoperation starting from addition. It is equal to the binary function \(\uparrow^{7}\) in Knuth's up-arrow notation.[1]
"a enneated to b" can be written in array notation as \(\{a,b,7\}\), in chained arrow notation as \(a \rightarrow b \rightarrow 7\) and in Hyper-E notation as E[a]1#1#1#1#1#1#b.
Enneational growth rate is equivalent to \(f_8(n)\) in the fast-growing hierarchy.
Pseudocode[]
Below is an example of pseudocode[2] for enneation.
function nonation(a, b):
result := 1
repeat b times:
result := a octanated to result
return result
Sources[]
- ↑ Enneation is mentioned on Cookiefonster's Large Number Site
- ↑ Pseuocode on wikipedia
See also[]
Main article: hyper operator
Hyper-operators: successor · addition · multiplication · exponentiation · tetration · pentation · hexation · heptation · octation · enneation · decation (un/doe/tre) · vigintation (doe) · trigintation · centation (tri) · docentation · myriation · circulationBowers' extensions: expansion · multiexpansion · powerexpansion · expandotetration · explosion (multi/power/tetra) · detonation · pentonation
Saibian's extensions: hexonation · heptonation · octonation · ennonation · deconation
Tiaokhiao's extensions: megotion (multi/power/tetra) · megoexpansion (multi/power/tetra) · megoexplosion · megodetonation · gigotion (expand/explod/deto) · terotion · more...