A251735 - OEIS

%I #16 Apr 16 2018 04:49:42

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

%T 5,5,2,4,3,1,4,8,1,5,7,4,7,3,2,5,4,1,1,5,8,0,6,1,4,7,5,0,8,2,8,0,3,1,

%U 8,4,9,1,1,9,3,9,9,3

%N Decimal expansion of Sum_{n>=1} (-1)^(n+1)/n^(1/3).

%C Cubic root analog of A113024.

%H G. C. Greubel, <a href="/A251735/b251735.txt">Table of n, a(n) for n = 0..10000</a>

%F Equals 1 - 1/A002580 + 1/A002581 - 1/A005480 + ... = A251734 *(1 - A005480).

%e 0.57175283382527766493...

%p Zeta(1/3)*(1-root[3](4)) ; evalf(%) ;

%t RealDigits[-Zeta[1/3]*(4^(1/3) - 1), 10, 100][[1]] (* _G. C. Greubel_, Apr 15 2018 *)

%o (PARI) -zeta(1/3)*(4^(1/3)-1) \\ _Charles R Greathouse IV_, Apr 20 2016

%Y Cf. A005480, A113024, A251734.

%K cons,nonn

%O 0,1

%A _R. J. Mathar_, Dec 07 2014