A175407 a(n) = the least integer k such that (1+1/n)^k >= 3.

2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 74, 75

Offset: 1

Author

Zak Seidov, May 01 2010

Keywords

• nonn

Comments

Sequence of first differences consists just of 1's and 2's, no two consecutive 2's.

a(n)-A175406(n) may be arbitrarily large.

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..2000

Crossrefs

Cf. A175406.

Programs

Mathematica

Table[Ceiling[Log[(1+1/n),3]],{n,200}]

Extensions

Terms corrected by Jon E. Schoenfield, Apr 23 2014