A136368 Numerator of Sum_{k=1..n} (-1)^(k+1)/prime(k)^2.

1, 5, 161, 6989, 889769, 145034861, 42816875729, 15196271678069, 8132911703794601, 6790008314246422541, 6567054920481119894801, 8950073675937467308565669, 15100141203716305943432625689

Offset

1,2

Links

Table of n, a(n) for n=1..13.

Mathematica

Table[Numerator[Sum[(-1)^(k+1)/Prime[k]^2, {k, 1, n}]], {n, 1, 20}]

Prog

(Magma) [Numerator(&+[(-1)^(k+1)/NthPrime(k)^2:k in [1..n]]): n in [1..13]]; // Marius A. Burtea, Aug 26 2019

Crossrefs

Cf. A136369, A136365, A136366, A024530, A136370, A136371.

Sequence in context: A085330 A222628 A287032 * A229163 A322747 A274712

Adjacent sequences: A136365 A136366 A136367 * A136369 A136370 A136371

Keyword

nonn,frac

Author

Alexander Adamchuk, Dec 27 2007

Status

approved