

A154110


The largest number that can be written with n characters, using positive integers, exponentiation and the factorial function.


0




OFFSET

1,1


COMMENTS

The sequence is infinite, but cannot be displayed in OEIS format after a(2).


LINKS

Table of n, a(n) for n=1..2.
Daniel J. Velleman, Exponential vs. Factorial, Am. Math. Monthly, Vol. 113, No.8, pp. 689703, Oct 2006.


FORMULA

For n > 2, Velleman proves that a(n+1) = a(n)!.


EXAMPLE

a(1) = 9, as we are writing in base 10.
a(2) = 9^9 = 387420489, when writing exponentiation with superscripting instead of using the character "^".


CROSSREFS

Sequence in context: A229687 A029983 A225775 * A235400 A028446 A058470
Adjacent sequences: A154107 A154108 A154109 * A154111 A154112 A154113


KEYWORD

nonn,base,bref


AUTHOR

Jonathan Vos Post, Jan 04 2009


STATUS

approved



