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A254059
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a(n) is the numerator of the generalized continued fraction with terms sigma(m)/m for m=1 to n.
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2
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1, 2, 10, 18, 110, 146, 1902, 17406, 18138, 1063554, 1067358, 613398, 32007426, 3207106806, 19364306334, 11692834638, 7305794123622, 49155004502022, 1080060968010858, 11832864774651042, 21773239326463026, 475223541375418782, 83304240831298888014
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OFFSET
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1,2
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LINKS
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EXAMPLE
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The values of sigma(n)/n are: 1/1, 3/2, 4/3, 7/4, 6/5, ...
For n=1, the continued fraction is 1/1 so a(1)=1.
For n=2, it is 1/(1+3/2) = 2/5, so a(2)=2.
For n=3, it is 1/(1+3/(2+4/3)) = 10/19, so a(3)=10.
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PROG
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(PARI) a(nn) = {my(v = vector(nn, n, sigma(n)/n)); for (n=1, nn, val = v[n]; forstep(k=n-1, 1, -1, val = numerator(v[k])/(denominator(v[k]) + val); ); print1(numerator(val), ", "); ); }
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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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