STATUS
proposed
approved
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a(n) is the numerator of the generalized continued fraction with terms sigma(m)/m for m=1 to n.
(history; published version)
(history; published version)
STATUS
editing
proposed
NAME
allocated a(n) is the numerator of the generalized continued fraction with terms sigma(m)/m for Michel Marcusm=1 to n.
DATA
1, 2, 10, 18, 110, 146, 1902, 17406, 18138, 1063554, 1067358, 613398, 32007426, 3207106806, 19364306334, 11692834638, 7305794123622, 49155004502022, 1080060968010858, 11832864774651042, 21773239326463026, 475223541375418782, 83304240831298888014
OFFSET
1,2
EXAMPLE
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.
PROG
(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), ", "); ); }
CROSSREFS
KEYWORD
allocated
nonn,frac
AUTHOR
Michel Marcus, Jan 24 2015
STATUS
approved
editing
KEYWORD
allocating
allocated
NAME
allocated for Michel Marcus
KEYWORD
allocating
STATUS
approved