Yes, I'm not kidding, EAN numbers are listed and named this way.
Simple Extended Arrow Notation
Linear Extended Arrow Notation
and Block Extended Arrow Notation.
The first numbers are:
(1) 1-decomposal = 1[100]1
(2) 2-decomposal = 2[300]2
Not a lot (1-decomposal is 1 while 2-decomposal is 4) but we'll get on.
(3) Writetrat = 4[1][1]3
(4) Wrisextetrat = 6[1][1]3
(5) Piegol = 10[1]100[1]π
(6) Boom = 10[2]3
Writetrat and Writesextrat are writeable and borderline writable respectively, hence the name,
Piegol... you know already. Boom stands for 10[1][1][1]10, think of it as an explosion (not the bowerian one)
(7) Tresemme = 3[2][2]3
This is about w2, aka one of the expressions covered by Orbital Nebula.
(8) Braif's Number = 8[2][2][2][2]5
(9) Monty Python's Audience = 100[2][2][2][2][2]99[2][2][2][2][2]98[2][2][2][2][2]...
(10) Alderaan's Insurance = 10[3]10[3]100
Just some ad hoc naming schemes for something related to something...
(11) Ultimatritri - 3[3][3][3]3
(12) Order 1 - 3[4]3
Order 2 is a bit later into the series.
(13) Was this tridecal - 10[10]10
(14) I forgot corporal - 10[1,2]100
(15) Grandecal - 10[10,2]10
(16) Clydic Dimentri - 3[3,3,3]3
(17) Granditeral - 10[1\]10
Granditeral is actually akin to a 10 dimensional cube!!! And, the Granditeral is liteally Grand Iteral...
(18) Gragoil - 10[1\]100
(19) I can add more threes 3[3\]3
(20) Dogragoil - 10[1\,\]100
(21) Dieperamentri - 3[<1>\]3
(22) Bragoil - 10[<1>\]100
(27) Yes I can and you cant stop me - 3[<3>\]3
(28) Nonagintenneadecamonoapennehecatobashecatounohecatobiquagoil -
10[10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,9,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,<3><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><2><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1><1>\]100