A123733 Decimal expansion of Sum_{m>=1} (-1)Sigma(m)/m^4.
1, 1, 2, 6, 3, 4, 2, 8, 6, 4, 3, 1, 4, 5, 5, 0, 7, 0, 5, 7, 2, 4, 9, 7, 8, 4, 8, 7, 2, 9, 9, 9, 2, 6, 8, 3, 2, 5, 8, 4, 6, 4, 2, 0, 6, 3, 5, 0, 2, 6, 2, 9, 7, 4, 9, 2, 5, 1, 6, 8, 8, 2, 8, 0, 8, 7, 9, 8, 2, 9, 1, 5, 2, 6, 5, 9, 4, 9, 3, 0, 1, 8, 3, 6, 8, 9, 2, 7, 3, 2, 2, 5, 7, 3, 2, 4, 8, 4, 8, 0, 4, 8, 8, 9, 5
Offset: 1
Examples
1.12634286431455070572497848729992683258464206350262...
Programs
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PARI
prodeulerrat(1 + (p^4-p^3+1)/((p-1)^2*(p^2+p+1)*(p^3+p^2+p+1))) \\ Amiram Eldar, Aug 26 2022
Formula
Equals Sum_{m>=1} A049060(m)/m^4.
Equals Product_{p prime} (1 + (p^4- p^3+1)/((p-1)^2*(p^2+p+1)*(p^3+p^2+p+1))). - Amiram Eldar, Aug 26 2022
Extensions
46 more digits from R. J. Mathar, Dec 19 2010
More terms from Amiram Eldar, Aug 26 2022