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A120264 Numerator of Sum[ (-1)^(k+1)/k^k, {k,1,n} ]. 0

%I

%S 1,3,85,5413,16922537,456895999,376274084904457,24659496552164597077,

%T 13105067550356276873597957,40953336089635928267832533257,

%U 11684464736880059106484670339210887010027

%N Numerator of Sum[ (-1)^(k+1)/k^k, {k,1,n} ].

%C Denominator of Sum[1/k^k*(-1)^(k+1),{k,1,n}] is A061464(n).

%C Sum[ (-1)^(k+1) / k^k, {k,1,Infinity} ] = Integrate[ x^x, {x,0,1} ] = 0.7834305107154659... A083648(n) gives its decimal expansion {7, 8, 3, 4, 3, 0, 5, 1, 0, 7, 1, 2, 1, 3, 4, 4, 0, 7, 0, 5, 9, ...}. - _Alexander Adamchuk_, Aug 21 2006

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/SophomoresDream.html">Sophomore's Dream</a>.

%F a(n) = numerator[[Sum[1/k^k*(-1)^(k+1),{k,1,n}]].

%t Numerator[Table[Sum[1/k^k*(-1)^(k+1),{k,1,n}],{n,1,20}]]

%Y Cf. A061463, A061464.

%Y Cf. A083648.

%K frac,nonn

%O 1,2

%A _Alexander Adamchuk_, Jun 30 2006

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Last modified September 25 15:27 EDT 2021. Contains 347658 sequences. (Running on oeis4.)