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 A096061 a(n) = floor((Sum of the first n natural numbers)/(Sum of the first n terms of the harmonic series)). 1
 1, 2, 3, 4, 6, 8, 10, 13, 15, 18, 21, 25, 28, 32, 36, 40, 44, 48, 53, 58, 63, 68, 73, 79, 85, 91, 97, 103, 109, 116, 123, 130, 137, 144, 151, 159, 167, 175, 183, 191, 200, 208, 217, 226, 235, 244, 254, 263, 273, 283, 293, 303, 314, 324, 335, 346, 357, 368, 379 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Alois P. Heinz, Table of n, a(n) for n = 1..10000 FORMULA The sequence has the asymptotic behavior n^2/log(n). - Stefan Steinerberger, Mar 18 2006 (n*(n+1))/(2*log(n)) >= a(n) >= (n*(n+1))/(2*log(n)+2). - Stefan Steinerberger, Mar 18 2006 EXAMPLE a(5) = floor((1 + 2 + 3 + 4 + 5)/(1 + 1/2 + 1/3 + 1/4 + 1/5)) = floor(15/(137/60)) = floor(900/137) = 6. MAPLE a:= n-> floor(sum(i, i=1..n)/sum(1/i, i=1..n)): seq(a(n), n=1..60);  # Alois P. Heinz, Aug 26 2015 MATHEMATICA Table[Floor[(n*(n + 1))/(2*Sum[1/i, {i, 1, n}])], {n, 1, 55}] (* Stefan Steinerberger, Mar 18 2006 *) CROSSREFS Sequence in context: A029517 A177907 A083006 * A100919 A184109 A214780 Adjacent sequences:  A096058 A096059 A096060 * A096062 A096063 A096064 KEYWORD nonn AUTHOR Amarnath Murthy, Jun 18 2004 EXTENSIONS More terms from Stefan Steinerberger, Mar 18 2006 Offset corrected by Jon E. Schoenfield, Aug 26 2015 STATUS approved

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Last modified February 22 01:04 EST 2019. Contains 320381 sequences. (Running on oeis4.)