Happy Birthday! This is my seventeenth birthday! Let's count from 1 to 17!
Birthday Ultimates = E[17]17#{&}#17 in Collapsing-E notation
Grand Madomium = {17, 17 [1 [1 \_{2,2} 3] 2] 2} in Bird's array notation
Pink Shower = XTar(ε0, 1; 17) in Extensible Tar hierarchy
Merry Merry Madom Fountain = 17[&] in Ampersand notation
Black Terror = (0,0,0,0)(1,1,1,1)[17] in Bashicu Matrix System version 4, simulating Hardy function
Grand Terror = (0,0,0,0)(1,1,1,1)(2,2,2,2)[17] in Bashicu Matrix System version 4, simulating Hardy function
Great Terror = (0,0,0,0,0)(1,1,1,1,1)[17] in Bashicu Matrix System version 4, simulating Hardy function
Little Shower = XTar(1, 1; 17) in Extensible Tar hierarchy
Tiny Shower = XTar(2; 17) in Extensible Tar hierarchy
Godlarity = X^^X & 17 in BEAF tetrational arrays
Made You Look = Rayo^{Rayo^17(XTar(3; 14))}(SSCG(68)) using Extensible Tar hierarchy
Antidiode = f_{ψ_{I(0, 0)}(I(EBO, 0))}(1729) using the fast-growing hierarchy with the fundamental sequences for a function collapsing α-weakly inaccessible cardinals and the extended Buchholz's hierarchy
Long Hair Lukas = M(2147483647, G64) using DLMAN's M function
Madom's Phrase = "the largest finite number that can be uniquely defined using no more than "Uttery True Cycles symbols in some K(Uttery True Cycles) system in some K2(Uttery True Cycles) 2-system in some K3(Uttery True Cycles) 3-system in some K4(Uttery True Cycles) 4-system in some .........KUttery True Cycles(Uttery True Cycles) Uttery True Cycles-system" with Golden Pitcairnery cycles, where the number Uttery True Cycles can be represented with one symbol (byte).", where a Km(n) m-system is an arbitrary well-defined system of mathematics that can generate K(m-1)(n) (m-1)-systems and which can be uniquely described in at most n symbols and a K1(n) system is an arbitrary well-defined system of mathematics which can be uniquely described in n symbols, and "cycles" can be represented using complete recursion-based diagonalization under the fundamental sequence "The True Cycles, Uttery True Cycles, ...", and with the series of the phrases, levels, stages, classes, tiers, stacks, restacks, etc. in which the next word scale is Livonian Coast more powerful than the current one, starting from the word "phrase" first, and the word scaling is the Birthday Ultimate-th level."
Greenery = 1/Godlarity
Improved Colors = FOOT(i^i) = FOOT(e^(-π/2)) ≈ FOOT(0.20787957635076191)
TRUE Birthday Ultimate = E[17]17#{&_2}#17 in extended Collapsing-E notation = E[17]17#{&^&^&^&^&^&^&^&^&^&^&^&^&^&^&^&^&}#17 (17 &'s) in Collapsing-E notation