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A242024 Decimal expansion of Sum(n>=1, (-1)^(n + 1)*6/(n*(n + 1)*(n + 2)). 3

%I

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

%T 1,6,9,0,6,0,0,1,6,1,2,3,2,3,0,6,3,0,4,9,4,4,8,1,6,0,1,1,3,9,2,0,7,2,

%U 3,4,6,3,6,3,6,3,3,6,5,8,7,2,7,0,3,5,9,9,2,3,9,5,7

%N Decimal expansion of Sum(n>=1, (-1)^(n + 1)*6/(n*(n + 1)*(n + 2)).

%C The sum of terms of the inverse of Binomial(n,3) for n>=3, (or A000292(n), for n>=1) with alternating signs.

%C Also see A242023.

%F Equals 12*log(2) - 15/2.

%e 0.8177661667193437130067854...

%t RealDigits[Chop[Sum[N[(-1)^(n+1)*6/(n*(n+1)*(n+2)),150],{n,1,Infinity}]], 10,120][[1]] (* _Harvey P. Dale_, Jun 02 2016 *)

%o (PARI) 12*log(2) - 15/2 \\ _Michel Marcus_, Aug 13 2014

%o (PARI) sumalt(n=1, (-1)^(n + 1)*6/(n*(n + 1)*(n + 2))) \\ _Michel Marcus_, Aug 14 2014

%Y Cf. A242023, A000217, A000292, A000332, A002162.

%K nonn,cons

%O 0,1

%A _Richard R. Forberg_, Aug 11 2014

%E Prior Mathematica program replaced by _Harvey P. Dale_, Jun 02 2016

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Last modified February 23 08:18 EST 2019. Contains 320420 sequences. (Running on oeis4.)