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

1, 11, 37, 359, 4211, 21569, 26861, 404633, 486533, 543317, 620537, 12904043, 14719493, 15845813, 34726021, 185083001, 206868401, 222740621, 61034249, 715725589, 23180285059, 24177226459, 8697796903, 9167200453, 9502812653

Offset

1,2

Comments

Denominators: A120834(n);

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

Crossrefs

Cf. A120836, A120831.

Sequence in context: A160623 A147556 A201312 * A261420 A034969 A052432

Adjacent sequences: A120830 A120831 A120832 * A120834 A120835 A120836

Keyword

nonn,frac

Author

Reinhard Zumkeller, Jul 24 2006

Status

approved