A215141 Decimal expansion of Sum_{n>=1} (-1)^(n+1) / sigma(n)^n.
9, 0, 4, 2, 2, 6, 1, 3, 8, 2, 2, 8, 4, 3, 4, 5, 2, 1, 1, 4, 6, 2, 7, 4, 9, 6, 5, 6, 2, 5, 6, 5, 6, 2, 7, 3, 2, 8, 7, 5, 1, 8, 2, 8, 3, 4, 9, 0, 3, 8, 1, 7, 6, 7, 3, 5, 9, 9, 7, 9, 1, 0, 9, 8, 7, 5, 8, 3, 2, 8, 2, 4, 3, 4, 7, 8, 8, 1, 4, 3, 0, 3, 6, 0, 5, 6, 8
Offset: 0
Examples
.90422613822843452114627...
Links
- G. C. Greubel, Table of n, a(n) for n = 0..5000
Programs
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Mathematica
RealDigits[N[Sum[((-1)^(n+1))/DivisorSigma[1,n]^n,{n,1,105}],105]][[1]]
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PARI
suminf(n=1, (-1)^(n+1)/sigma(n)^n) \\ Michel Marcus, Apr 20 2018