A067083 Number of digits in n^(n^(n-1)).

1, 1, 5, 39, 437, 6051, 99425, 1893917, 41077012, 1000000001, 27011044252, 801840699303, 25952747043667, 909698753958571, 34333545124721025, 1388255822130839284, 59875111056395524697, 2743914679527468673294, 133153224151130627642479, 6821144143666773728762208

Offset

1,3

Links

Table of n, a(n) for n=1..20.

Formula

a(n) = floor(n^(n-1)*log(n)/log(10)) + 1. - Benoit Cloitre, Feb 20 2002

Example

a(4) = 39 as 4^(4^3) = 4^64 = 3.4028236692... * 10^38.

Crossrefs

Cf. A054382, A055642, A089210.

Sequence in context: A121354 A122486 A187739 * A199244 A322884 A352658

Adjacent sequences: A067080 A067081 A067082 * A067084 A067085 A067086

Keyword

nonn,base

Author

Amarnath Murthy, Jan 05 2002

Extensions

More terms from Benoit Cloitre, Feb 20 2002

Offset corrected by Georg Fischer, Sep 28 2023

Status

approved