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A096061
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Floor[(Sum of the first n natural numbers)/(Sum of the first n terms of the harmonic series)].
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0
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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 3,2
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FORMULA
| The sequence has the asymptotic behaviour n^2/ln(n). - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Mar 18 2006
(n*(n+1))/(2*ln(n)) >= a(n) >= (n*(n+1))/(2*ln(n)+2) - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Mar 18 2006
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EXAMPLE
| a(5) = Floor[ {1+2+3+4+5}/{1+1/2 +1/3 +1/4 +1/5}]
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MATHEMATICA
| Table[Floor[(n*(n + 1))/(2*Sum[1/i, {i, 1, n}])], {n, 1, 55}] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Mar 18 2006
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CROSSREFS
| Sequence in context: A029517 A177907 A083006 * A100919 A184109 A024174
Adjacent sequences: A096058 A096059 A096060 * A096062 A096063 A096064
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KEYWORD
| nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jun 18 2004
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EXTENSIONS
| More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Mar 18 2006
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