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Numerators of partial sums of (p+q)/p*q, where p and q are primes.
4

%I #4 Mar 30 2012 18:50:54

%S 1,11,5,16,269,919,1019,6287,6749,192799,68513,629908,131816,5366365,

%T 16894967,206416733,212790815,221539555,1140147647,394400219,

%U 24027859197,390223473936,399480111942,1236227094836,95391734575399

%N Numerators of partial sums of (p+q)/p*q, where p and q are primes.

%C Denominators: A120832(n);

%C a(n)/A120832(n) = Sum(A068318(n)/A001358(n):1<=k<=n).

%e n=5: (2+2)/2*2+(2+3)/2*3+(3+3)/3*3+(2+5)/2*5+(2+7)/2*7 =

%e 4/4 + 5/6 + 6/9 + 7/10 + 9/14 = 269/70 = a(5)/A120832(5).

%Y Cf. A120835, A120833.

%K nonn,frac

%O 1,2

%A _Reinhard Zumkeller_, Jul 24 2006