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Search: id:A096061
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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
1
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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; listen)
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OFFSET
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3,2
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FORMULA
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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
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a(5) = Floor[ {1+2+3+4+5}/{1+1/2 +1/3 +1/4 +1/5}]
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MATHEMATICA
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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
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Sequence in context: A061953 A029517 A083006 this_sequence A100919 A024174 A008739
Adjacent sequences: A096058 A096059 A096060 this_sequence A096062 A096063 A096064
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jun 18 2004
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EXTENSIONS
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More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Mar 18 2006
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