A123732 Decimal expansion of Sum_{m>=1} (-1)Sigma(m)/m^3.

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

Author

Yasutoshi Kohmoto, Nov 18 2006

Keywords

• nonn
• cons

Comments

The sum over (-1)Sigma(m)/m^2 is divergent.

Examples

			1.46400354360318202593842489434542708983961995794945...
		

Crossrefs

Cf. A049060, A123733, A123734, A183699.

Programs

PARI

prodeulerrat(1 + (p^3-p^2+1)/((p-1)^2*(p+1)*(p^2+p+1))) \\ Amiram Eldar, Aug 26 2022

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

Extensions

40 more digits from R. J. Mathar, Dec 19 2010

More terms from Amiram Eldar, Aug 26 2022