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A096061
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a(n) = floor((Sum of the first n natural numbers)/(Sum of the first n terms of the harmonic series)).
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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, 346, 357, 368, 379
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OFFSET
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1,2
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LINKS
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FORMULA
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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)) = floor(15/(137/60)) = floor(900/137) = 6.
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MAPLE
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a:= n-> floor(sum(i, i=1..n)/sum(1/i, i=1..n)):
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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, Mar 18 2006 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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