Hypermathematics:
Hypermathematical tritri: 3^3^3 in hypermathematics
Hypermathematical tritet: 4^4^4 in hypermathematics
Hypermathematical tripent: 5^5^5 in hypermathematics
Hypermathematical trihex: 6^6^6 in hypermathematics
Hierarchies:
NOTE: Includes fast-growing hierarchy, hardy hierarchy, middle-growing hierarchy, and slow-growing hierarchy.
Ronnalum: f10^27 (10)
Quettalum: f10^30 (10)
Ronnaddom: fω+10^27 (10)
Quettaddom: fω+10^30 (10)
Ronnultom: fω10^27 (10)
Quettultom: fω10^30 (10)
Ronnexom: fω^10^27 (10)
Quettexom: fω^10^30 (10)
Ronnotetrom: fω^^10^27 (10)
Quettotetrom: fω^^10^30 (10)
Ronnotar: Tar(10^27)
Quettotar: Tar(10^30)
Ronnintar: Tar^10^27 (Tar)
Quettintar: Tar^10^30 (Tar)
Dynamically changing:
Legiday: {10, D / 2} where D is the current month and day (for example, if it's January 1, D will be equal to 101, and if it's June 18, D will be equal to 618)
Other array notations:
NOTE: Includes quick, strong, Hayden's, Rampant, Aarex's, and Username5243's.
Trienbo: s(2,2,1,2) = 2^^2
Heptbo: s(7,2,1,2) = 7^^7
Octbo: s(8,2,1,2) = 8^^8
Ennebo: s(9,2,1,2) = 9^^9
Dekabo: s(10,2,1,2) = 10^^10
Heptro: s(7,3,1,2) = 7^^^7
Octro: s(8,3,1,2) = 8^^^8
Ennetro: s(9,3,1,2) = 9^^^9
Dekatro: s(10,3,1,2) = 10^^^10
Hepteto: s(7,4,1,2) = 7^^^^7
Octeto: s(8,4,1,2) = 8^^^^8
Enneteto: s(9,4,1,2) = 9^^^^9
Dekateto: s(10,4,1,2) = 10^^^^10
Heptpeno: s(7,5,1,2) = 7^^^^^7
Octpeno: s(8,5,1,2) = 8^^^^^8
Ennepeno: s(9,5,1,2) = 9^^^^^9
Dekapeno: s(10,5,1,2) = 10^^^^^10
Hepthexo: s(7,6,1,2) = 7^^^^^^7
Octhexo: s(8,6,1,2) = 8^^^^^^8
Ennehexo: s(9,6,1,2) = 9^^^^^^9
Dekahexo: s(10,6,1,2) = 10^^^^^^10
Trihepto: s(3,7,1,2) = 3{7}3
Tethepto: s(4,7,1,2) = 4{7}4
Penhepto: s(5,7,1,2) = 5{7}5
Hexhepto: s(6,7,1,2) = 6{7}6
Trienhept: s(7,7,1,2) = 7{7}7
Octhepto: s(8,7,1,2) = 8{7}8
Ennehepto: s(9,7,1,2) = 9{7}9
Dekahepto: s(10,7,1,2) = 10{7}10
Misc. numbers:
Plantstarxul: [200] in PlantStar's Debut Notation
Kiloplantstarxul: [Plantstarxul] in PlantStar's Debut Notation
Megaplantstarxul: [Kiloplantstarxul] in PlantStar's Debut Notation
Gigaplantstarxul: [Megaplantstarxul] in PlantStar's Debut Notation
Yoogol: 10Ѧ100
Yoogolchime: 10Ѧ1000
Yoogoltoll: 10Ѧ10000
Yoogolgong: 10Ѧ100000
Yoogolplex: 10Ѧ10Ѧ100
Yoogolduplex: 10Ѧ10Ѧ10Ѧ100
Yoogoltriplex: 10Ѧ10Ѧ10Ѧ10Ѧ100
Yiggol: 10ѦѦ100
Yaggol: 10ѦѦѦ100
Grand Yoogol: 10Ѫ100
Golgll: E#500#500#10#10#12 or 10^500^500^10^10^12 (by BoogolFromGoogology)
Golgllplex: E#500#500#10#10#12#100 or 10^500^500^10^10^12^100 (by BoogolFromGoogology)
Pixelleamatrixy: (0)(0)(8)[7] in the Bachisu matrix system
Sakura functions:
If Sk+(n) then n+904
If Sk*(n) then n*904
If Sk^(n) then n904
If Sk(Sk+(n)) then nSk+(n)
If Sk(Sk*(n)) then nSk*(n)
If Sk(Sk^(n)) then 904n
If Sk(Sk(Sk..[amount of layers]..+(n))) then n^^..[amount of layers]..^^Sk+(n)
Numbers defined using this function:
Sakurillion: Sk^(10) = 10904