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

%I #23 Jul 23 2022 03:18:12

%S 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,

%T 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,

%U 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

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

%F Equals 1 - Integral_{x = 0..1} x^(x+1) dx. - _Peter Bala_, Jul 21 2022

%e 0.5969655555784832245791273664925691831645883...

%p evalf(Sum((-1/n)^(n-1), n=1..infinity), 120); # _Vaclav Kotesovec_, Oct 15 2015

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

%o (PARI) sumalt(n=1, (-1/n)^(n-1)) \\ _Michel Marcus_, Oct 06 2015

%Y Cf. A083648, A098686.

%K nonn,cons

%O 0,1

%A _Andrew Penton_, Oct 05 2015

%E More terms from _Michel Marcus_, Oct 15 2015

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Last modified August 11 01:05 EDT 2024. Contains 375059 sequences. (Running on oeis4.)