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URL: https://oeis.org/A076829

⇱ A076829 - OEIS

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A076829
a(n) = floor(log(log(n^n^n))).
0
1, 3, 5, 8, 11, 14, 17, 20, 23, 27, 30, 34, 37, 41, 45, 49, 53, 57, 61, 65, 69, 73, 77, 81, 85, 90, 94, 98, 103, 107, 112, 116, 121, 125, 130, 134, 139, 144, 148, 153, 158, 163, 167, 172, 177, 182, 187, 192, 196, 201, 206, 211, 216, 221, 226, 231, 236, 241, 247
OFFSET
2,2
FORMULA
a(n) = floor(n*log(n) + log(log(n))).
EXAMPLE
3^3^3 = 3^27 = 7625597484987. Log(log(7625597484987)) = 3.38..., so a(3)= 3.
MATHEMATICA
Table[ Floor[ n * Log[n] + Log[ Log[n]]], {n, 2, 60}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Neil Fernandez, Nov 20 2002
EXTENSIONS
Edited by Robert G. Wilson v, Nov 22 2002
Undefined a(1) removed by Sean A. Irvine, Apr 17 2025
STATUS
approved