A120831 - OEIS

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A120831

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

4

1, 11, 5, 16, 269, 919, 1019, 6287, 6749, 192799, 68513, 629908, 131816, 5366365, 16894967, 206416733, 212790815, 221539555, 1140147647, 394400219, 24027859197, 390223473936, 399480111942, 1236227094836, 95391734575399

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OFFSET

1,2

COMMENTS

Denominators: A120832(n);

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

LINKS

Table of n, a(n) for n=1..25.

EXAMPLE

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

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

CROSSREFS

Cf. A120835, A120833.

Sequence in context: A085716 A127820 A168206 * A253254 A373730 A363347

Adjacent sequences: A120828 A120829 A120830 * A120832 A120833 A120834

KEYWORD

nonn,frac

AUTHOR

Reinhard Zumkeller, Jul 24 2006

STATUS

approved