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 A175406 The greatest integer k such that (1+1/n)^k <= 2. 2
 1, 1, 2, 3, 3, 4, 5, 5, 6, 7, 7, 8, 9, 10, 10, 11, 12, 12, 13, 14, 14, 15, 16, 16, 17, 18, 19, 19, 20, 21, 21, 22, 23, 23, 24, 25, 25, 26, 27, 28, 28, 29, 30, 30, 31, 32, 32, 33, 34, 35, 35, 36, 37, 37, 38, 39, 39, 40, 41, 41, 42, 43, 44, 44, 45, 46, 46, 47, 48, 48, 49, 50, 50, 51 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS The sequence of first differences consists of zeros and ones, with no two consecutive zeros and no more than three consecutive ones. LINKS Table of n, a(n) for n=1..74. FORMULA a(n) = n log 2 + O(1). Conjecture: a(n) = floor((n + 1/2) log 2). - Charles R Greathouse IV, Apr 03 2012 MATHEMATICA Table[Floor[Log[(1+1/n), 2]], {n, 200}] PROG (PARI) a(n)=log(2)\log(1+1/n) \\ Charles R Greathouse IV, Apr 03 2012 CROSSREFS Cf. A094500. Sequence in context: A066481 A248103 A121928 * A210435 A181534 A258703 Adjacent sequences: A175403 A175404 A175405 * A175407 A175408 A175409 KEYWORD nonn AUTHOR Zak Seidov, May 01 2010 EXTENSIONS Name corrected (to match terms) by Jon E. Schoenfield, Apr 23 2014 STATUS approved

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Last modified April 23 20:33 EDT 2024. Contains 371916 sequences. (Running on oeis4.)