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A093762
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Numerators of 1-2*HarmonicNumber(n)/(n+1).
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2
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0, 0, 1, 1, 43, 3, 197, 499, 5471, 589, 82609, 7243, 1376527, 1530967, 1687123, 217033, 68127937, 1290761, 500679401, 107119657, 38046795, 1756445, 983477669, 622806889, 81955769933, 86074407533, 811851812797, 29280696293
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OFFSET
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1,5
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COMMENTS
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Expected area of the convex hull of n points picked at random inside a triangle with unit area.
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LINKS
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EXAMPLE
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0, 0, 1/12, 1/6, 43/180, 3/10, 197/560, 499/1260, 5471/12600, ...
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MAPLE
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h:= 1:
A[1]:= 0:
for n from 2 to 50 do
h:= h+1/n;
A[n]:= numer(1-2*h/(n+1));
od:
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MATHEMATICA
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Table[Numerator[1-2HarmonicNumber[n]/(n+1)], {n, 30}] (* Harvey P. Dale, Oct 10 2013 *)
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PROG
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(PARI) a(n) = numerator(1-2*sum(i=1, n, 1/i)/(n+1)) \\ Felix Fröhlich, Oct 17 2018
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CROSSREFS
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KEYWORD
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nonn,frac
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AUTHOR
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STATUS
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approved
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