A152475 Number of digits in factorial numbers of the form: (n!^n!)!.

1, 2, 197573, 43600856616158353989522412378215477

Offset

1,2

Comments

(1!^1!)!=1 -> 1 digit; (2!^2!)!=24 -> 2 digits; (3!^3!)!=veryverylargenumber -> 197573 digits; (4!^4!)!=?!...

From Jon E. Schoenfield, Dec 21 2008: (Start)

(3!^3!)! = (6^6)! = 46656! = 6.8964...*10^197572

(4!^4!)! = (24^24)! = 1333735776850284124449081472843776! = 1.1463...*10^43600856616158353989522412378215476. (End)

Links

Table of n, a(n) for n=1..4.

Mathematica

a[n_]:=Length[IntegerDigits[(n!^n!)! ]];

Crossrefs

Sequence in context: A006935 A070833 A176584 * A124362 A228001 A202867

Adjacent sequences: A152472 A152473 A152474 * A152476 A152477 A152478

Keyword

nonn,base

Author

Vladimir Joseph Stephan Orlovsky, Dec 05 2008

Extensions

a(4) from Jon E. Schoenfield, Dec 21 2008

Status

approved