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
Examples
0.5969655555784832245791273664925691831645883...
Programs
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Maple
evalf(Sum((-1/n)^(n-1), n=1..infinity), 120); # Vaclav Kotesovec, Oct 15 2015
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Mathematica
Sum[(-1/n)^(n-1),{n,1,Infinity}]
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PARI
sumalt(n=1, (-1/n)^(n-1)) \\ Michel Marcus, Oct 06 2015
Formula
Equals 1 - Integral_{x = 0..1} x^(x+1) dx. - Peter Bala, Jul 21 2022
Extensions
More terms from Michel Marcus, Oct 15 2015