A262974 Decimal expansion of Sum_{n > 0} (-1/n)^(n-1).

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

Offset

0,1

Links

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

Formula

Equals 1 - Integral_{x = 0..1} x^(x+1) dx. - Peter Bala, Jul 21 2022

Example

0.5969655555784832245791273664925691831645883...

Maple

evalf(Sum((-1/n)^(n-1), n=1..infinity), 120); # Vaclav Kotesovec, Oct 15 2015

Mathematica

Sum[(-1/n)^(n-1), {n, 1, Infinity}]

Prog

(PARI) sumalt(n=1, (-1/n)^(n-1)) \\ Michel Marcus, Oct 06 2015

Crossrefs

Cf. A083648, A098686.

Sequence in context: A198349 A370742 A176110 * A319757 A349220 A240723

Adjacent sequences: A262971 A262972 A262973 * A262975 A262976 A262977

Keyword

nonn,cons

Author

Andrew Penton, Oct 05 2015

Extensions

More terms from Michel Marcus, Oct 15 2015

Status

approved