Happy 20th Birthday! Let's create 20 numbers to celebrate my birthday! From now on, my birthday numbers are celebrated biennially.
Members: 20
Happy Birthday, my prodigious discovery = E[20]400#^^#400 in extended Cascading-E notation
Celebrating 80 years after Patty Hill's death = E[80]6,400#{&(1)}#6,400 in extended Collapsing-E notation (system II)
Celebrating 110 years after Mildred J. Hill's death = E[110]12,100#{&(&)}#12,100 in extended Collapsing-E notation (system II)
Happy Birthday, Dear Mrs. Thomas in the laboratory = s(69420, 7, 1, 2 {1 {1 ` 2`} 2} 2) in strong array notation (SAN)
Ides of March = (-44)^(15×3) ≈ -9.0234048236666842360389046803585 × 10^73
Decimal expansion: -90,234,048,236,666,842,360,389,046,803,584,545,561,391,912,806,906,732,080,976,346,512,332,161,024
Night of Power (Shia Islam edition) = s(1447, 9, 26 {1 {1 `` 1 `` 2`} 2} 2) in strong array notation [*1447 means AH 1447 (which is the Hijri era), 9 means Ramadan, the ninth month of the Islamic calendar, 26 means the day of the Islamic month]
Laetare Sunday = 11,386{{{{{{0, 2}, 2}, 2}, 2}, 1}} in binary bisector notation (NPS-BBN)
2013 Birthday Song's lawsuit in BAN = {2013, 2013 [4] 1 [3] 1 [3] 1 [2] 1 [2] 1 [2] 2} in Bird's array notation (BAN)
2013 Birthday Song's lawsuit in SAN = s(2013, 2013 {4} 1 {3} 1 {3} 1 {2} 1 {2} 1 {2} 2) in strong array notation (SAN)
2013 Birthday Song's lawsuit in Cascading-E = E[2013]2013#^###*#^##*#^##*#^#*#^#*#^#2013 in Cascading-E notation
2013 Birthday Song's lawsuit in BBN = 2013{{{3}{2}{2}{1}{1}{1}}} in binary bisector notation (BBN)
2013 Birthday Song's lawsuit in DLMAN = 2013[1{4}1{3}1{3}1{2}1{2}1{2}2]2013 in DeepLineMadom's array notation (DLMAN)
2013 Birthday Song's lawsuit in m(n) = [m(4)m(3)]^3 [m(4)^2 m(3)]^2 [m(4)^3 m(3)] m(2)m(1)(2013) using m(n) map
ABCDEFG = s(7, 6, 5, 4, 3, 2, 1, 2) in strong array notation (SAN)
Copyfraud = Hydra(20) using Hydra function
Las Mañanitas = 2,000((((())))) using Kirby-Paris hydra with respect to the specific convention:
(1) Each hydra is a path of length k, that is, a chain of k+1 nodes.
(2) The strategy always picks the rightmost node using n = a(n) where a(n) is the Narayana's cow sequence (1, 1, 1, 2, 3, 4, 6, 9, 13, 19, 28, 41, 60, 88, ... [OEIS: A000930]), until the game ends
(3) Once the game ends, n() = (a(n))! where a(n) is the Tribonacci number (0, 0, 1, 1, 2, 4, 7, 13, 24, 44, 81, 149, 274, 504, 927, ... [OEIS: A000073]) and ! is the factorial
Greeting Prelude = {20, 1955, 71, 1, 2 [1 [1 ¬ 3] 2] 2} in BAN (Hierarchical Hyper-Nested Array Notation)
Sto lat = E[100]100#{&(2)+&(1)}##100 in extended Collapsing-E notation (system II)
Circle of twenties = Circle(20) using Friedman's circle theorem
Death metal birthday = Rayo^{tree(20)}(2026) ("tree" stands for weak tree function)