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

1,3

Links

Table of n, a(n) for n=1..105.

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

Example

1.12634286431455070572497848729992683258464206350262...

Prog

(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

Crossrefs

Cf. A049060, A123732, A123734, A183700.

Sequence in context: A086360 A066098 A299160 * A261069 A236557 A359243

Adjacent sequences: A123730 A123731 A123732 * A123734 A123735 A123736

Keyword

nonn,cons

Author

Yasutoshi Kohmoto, Nov 18 2006

Extensions

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

More terms from Amiram Eldar, Aug 26 2022

Status

approved