A067083 - OEIS

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A067083

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

0

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

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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