A120831 Numerators of partial sums of (p+q)/p*q, where p and q are primes.

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

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 A363347 A229525

Adjacent sequences: A120828 A120829 A120830 * A120832 A120833 A120834

Keyword

nonn,frac

Author

Reinhard Zumkeller, Jul 24 2006

Status

approved