A152475 - OEIS

A152475

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

1, 2, 197573, 43600856616158353989522412378215477

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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

MATHEMATICA

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

CROSSREFS

KEYWORD

nonn,base

AUTHOR

EXTENSIONS

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

STATUS

approved