A013707 Decimal expansion of Sum_{k=1..50000} (-1)^(k+1) / k.

6, 9, 3, 1, 3, 7, 1, 8, 0, 6, 5, 9, 9, 4, 5, 3, 0, 9, 3, 9, 7, 2, 3, 2, 1, 2, 1, 4, 7, 4, 1, 7, 6, 5, 6, 8, 0, 4, 8, 3, 0, 0, 1, 3, 4, 4, 3, 9, 6, 1, 5, 2, 5, 3, 7, 6, 6, 8, 8, 8, 0, 1, 1, 7, 3, 0, 2, 1, 9, 2, 0, 2, 9, 3, 2, 1, 2, 1, 8, 0, 5, 4, 7, 1, 2, 0, 3, 3, 9, 4, 1, 0, 7, 9, 5, 6, 9, 1, 9, 3, 2, 1, 5, 1, 7

Offset

0,1

Links

Table of n, a(n) for n=0..104.

J. M. Borwein, P. B. Borwein and K. Dilcher, Pi, Euler numbers and asymptotic expansions, Amer. Math. Monthly, 96 (1989), 681-687.

J. M. Borwein, P. B. Borwein and K. Dilcher, Pi, Euler numbers and asymptotic expansions, Amer. Math. Monthly, 96 (1989), 681-687.

J. M. Borwein and R. M. Corless, Review of "An Encyclopedia of Integer Sequences" by N. J. A. Sloane and Simon Plouffe, SIAM Review, 38 (1996), 333-337.

Formula

log(2) + (Psi(25000 + 1/2) - Psi(25001))/2. - Robert Israel, Feb 03 2015

Mathematica

RealDigits[Sum[(-1)^(k+1)/k, {k, 50000}], 10, 120][[1]] (* Harvey P. Dale, Jul 27 2017 *)

Crossrefs

Cf. A013705, A013706.

Sequence in context: A181852 A129938 A022698 * A002162 A257945 A271526

Adjacent sequences: A013704 A013705 A013706 * A013708 A013709 A013710

Keyword

cons,nonn,easy,nice

Author

N. J. A. Sloane

Extensions

Corrected and extended by Jon E. Schoenfield, Feb 03 2015

Status

approved