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A123732
Decimal expansion of Sum_{m>=1} (-1)Sigma(m)/m^3.
2
1, 4, 6, 4, 0, 0, 3, 5, 4, 3, 6, 0, 3, 1, 8, 2, 0, 2, 5, 9, 3, 8, 4, 2, 4, 8, 9, 4, 3, 4, 5, 4, 2, 7, 0, 8, 9, 8, 3, 9, 6, 1, 9, 9, 5, 7, 9, 4, 9, 4, 5, 6, 7, 6, 8, 3, 0, 5, 3, 5, 6, 4, 5, 9, 0, 5, 4, 7, 2, 8, 9, 5, 4, 8, 5, 0, 5, 8, 5, 3, 9, 9, 7, 8, 8, 4, 9, 2, 3, 6, 7, 4, 5, 1, 2, 6, 2, 6, 6, 0, 6, 2, 3, 3, 3
OFFSET
1,2
COMMENTS
The sum over (-1)Sigma(m)/m^2 is divergent.
FORMULA
Equals Sum_{m>=1} A049060(m)/m^3.
Equals Product_{p prime} (1 + (p^3-p^2+1)/((p-1)^2*(p+1)*(p^2+p+1))). - Amiram Eldar, Aug 26 2022
EXAMPLE
1.46400354360318202593842489434542708983961995794945...
PROG
(PARI) prodeulerrat(1 + (p^3-p^2+1)/((p-1)^2*(p+1)*(p^2+p+1))) \\ Amiram Eldar, Aug 26 2022
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Yasutoshi Kohmoto, Nov 18 2006
EXTENSIONS
40 more digits from R. J. Mathar, Dec 19 2010
More terms from Amiram Eldar, Aug 26 2022
STATUS
approved