The 15 is here numbers

Introduction

Since Googology Wiki turned 15 years old recently, I decided to coin numbers based on number 15 and some multiples of 15 numbers (30, 45, 60, 75, 90, etc.) here.

Note: f_x(n) is fast-growing hierarchy. Wainer hierarchy, Veblen function, Buchholz's psi function is used in FGH.

All BMS numbers are defined with respect to version 4, simulating Hardy hierarchy.

Numbers in this series

1. First emirpimes / emirpimes dozen = 15

2. Quindecimal-zeralum = f_0(15) = 16

3. added emirpimes dozen / quindecimal-unalum = 15+15 = f_1(15) = 30

4. multiplied emirpimes dozen / garfifteen = 15*15 = 15^2 = 225

5. The optimism fifteen / trarfifteen = 15^3 = 3375

6. Quindecimal-balum = f_2(15) = 15*2^15 = 491,520

7. Fifteenbang = 15! = 1,307,674,368,000

8. Quadrillion (short scale) = 10^15

9. Emirpimes dozen powered itself / quindecimal-small-fry / fzfifteen = 15^15 = 437,893,890,380,859,375

10. Googoxvy = 30^15 = 1.4348907*10^22

11. quindecimal-googol = 15^100

12. Fifteendubang = (15!)! = 1,307,674,368,000!

13. Googoxvyplexvy = 15^30^15 ~ 10^1.4348907*10^22

14. quindecimal-googolplex = 15^15^100

15. fifteen-expobang = 15!1, in Hyperfactorial array notation

16. Quindecimal-tralum / quindecargum-tralum = f_3(15)

17. quindecimal-giggol = 15^^100

18. quindecimal-grangol = E[15]100#100 in Hyper-E

19. fifteen-tetrobang = 15!2, in Hyperfactorial array notation

20. Quindecimal-quadralum = f_4(15)

21. quindecimal-gaggol = 15^^^100

22. Quindecimal-quintalum = f_5(15)

23. Quindecimal-sextalum = f_6(15)

24. Quindecimal-zeraddom = f_ω(15)

25. triquindecal / triple M = {15,15,15}

26. fifteen-hyperbang = 15![1] in Hyperfactorial array notation

27. quindecimal-boogol = {15,15,100}

28. quindecimal-gugold = E[15]100##100 in Extended Hyper-E

29. Quindecimal-unaddom = f_(ω+1)(15)

30. Quindecimal-baddom = f_(ω+2)(15)

31. Quindecimal-bultom = f_(ω2)(15)

32. Quindecimal-bexom = f_(ω^2)(15)

33. tetraquindecal = {15,15,15,15} in BEAF

34. quindecimal-throogol = E[15]100###100 in Extended Hyper-E

35. Getting the quinze dip = E[15]150###15###15###15 (in Extended Hyper-E)

36. Kjoy qrvvlfjkg = E[15]225###225###100##100##46 (in Extended Hyper-E)

37. A delightful thought = {75,90,75,60,45,30,15} in BEAF

38. superquindecal = {15,15,15,15,15,15,15,15,15,15,15,15,15,15,15}, 15 & 15 in BEAF

39. Quindecimal-bitetrom = f_(ω^ω)(15)

40. Sevastopols in lot = (0)(1)(2)(3)(4)(1)(2)(3)[15] in BMS 

41. Lash collect = f_(ω^(ω+15 * 14))(15)

42. Quindecimal-tritetrom = f_(ω^ω^ω)(15)

43. Toplining fifteens = {15,15 (90,90,90,90) 2} in BEAF

44. Quindecimal-quadritetrom = f_(ω^ω^ω^ω)(15)

45. Leive it up = E15#^^#*#^##*##15 in Extended Cascading-E notation