A076829 a(n) = floor(log(log(n^n^n))) (or 0 if not finite).

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

1,3

Links

Table of n, a(n) for n=1..60.

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

Cf. A002488, A000312, A050504.

Sequence in context: A095375 A345979 A129260 * A084505 A084555 A102696

Adjacent sequences: A076826 A076827 A076828 * A076830 A076831 A076832

Keyword

nonn

Author

Neil Fernandez, Nov 20 2002

Extensions

Edited by Robert G. Wilson v, Nov 22 2002

Status

approved