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A120833 Numerators of partial sums of (p+q)/p*q, where p and q are primes. 5

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

%S 1,11,37,359,4211,21569,26861,404633,486533,543317,620537,12904043,

%T 14719493,15845813,34726021,185083001,206868401,222740621,61034249,

%U 715725589,23180285059,24177226459,8697796903,9167200453,9502812653

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

%C Denominators: A120834(n);

%C a(n)/A120834(n) = Sum(A001358(n)/A068318(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 + 6/5 + 9/6 + 10/7 + 14/9 = 4211/630 = a(5)/A120834(5).

%Y Cf. A120836, A120831.

%K nonn,frac

%O 1,2

%A _Reinhard Zumkeller_, Jul 24 2006

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Last modified September 10 14:22 EDT 2024. Contains 375790 sequences. (Running on oeis4.)