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Decimal expansion of Sum_{n>=1} 1 / sigma(n)^n.
3

%I #11 Apr 20 2018 11:49:05

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

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

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

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

%H G. C. Greubel, <a href="/A215140/b215140.txt">Table of n, a(n) for n = 1..5000</a>

%e 1.127282017283265890344379...

%t RealDigits[N[Sum[1/DivisorSigma[1,n]^n,{n,1,105}],105]][[1]]

%o (PARI) suminf(n=1, 1/sigma(n)^n) \\ _Michel Marcus_, Apr 20 2018

%Y Cf. A000203.

%K nonn,cons

%O 1,3

%A _Michel Lagneau_, Aug 04 2012