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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
Daniel J. Velleman, Exponential vs. Factorial, Am. Math. Monthly, Vol. 113, No.8, pp. 689-703, 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: A029983 A358814 A225775 * A235400 A028446 A058470
KEYWORD
nonn,base,bref
AUTHOR
Jonathan Vos Post, Jan 04 2009
STATUS
approved