A096795 Numerator of sum of reciprocals of first n prime powers; denominator=A051451(n).

1, 3, 11, 25, 137, 1019, 2143, 6709, 76319, 1019867, 2084779, 36161963, 699329537, 16317371911, 82657705331, 250947687593, 7357796373397, 230420777138107, 465354165304139, 17362507669146743, 717205745892079663

Offset

1,2

Links

Table of n, a(n) for n=1..21.

Example

n=6: 1/1 + 1/2 + 1/3 + 1/4 + 1/5 + 1/7 =
(420+210+140+105+84+60)/420 = 1019/420 = a(6)/A051451(6).

Crossrefs

Cf. A000961, A024451.

Sequence in context: A096617 A025529 A124078 * A362176 A160039 A272296

Adjacent sequences: A096792 A096793 A096794 * A096796 A096797 A096798

Keyword

nonn,frac

Author

Reinhard Zumkeller, Aug 17 2004

Status

approved