A123734 - OEIS

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A123734

Decimal expansion of Sum_{m>=1} (-1)Sigma(m)/m^5.

1, 0, 4, 7, 1, 2, 7, 6, 4, 6, 9, 6, 3, 2, 8, 0, 1, 1, 7, 1, 3, 1, 6, 1, 9, 9, 1, 5, 9, 7, 8, 7, 9, 8, 3, 8, 4, 2, 2, 1, 3, 4, 9, 5, 2, 6, 3, 4, 2, 4, 3, 1, 6, 9, 8, 3, 4, 0, 6, 8, 2, 5, 2, 8, 4, 4, 3, 5, 8, 7, 0, 5, 4, 6, 3, 6, 7, 0, 5, 0, 1, 0, 0, 7, 2, 9, 0, 0, 1, 7, 9, 1, 0, 8, 9, 9, 7, 9, 9, 6, 1, 8, 5, 3, 5

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OFFSET

1,3

LINKS

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

FORMULA

Equals Sum_{m>=1} A049060(m)/m^5.

Equals Product_{p prime} (1 + (p^5-p^4+1)/((p-1)^2*(p^3+p^2+p+1)*(p^4+p^3+p^2+p+1))). - Amiram Eldar, Aug 26 2022

EXAMPLE

1.04712764696328011713161991597879838422134952634243...

PROG

(PARI) prodeulerrat(1 + (p^5-p^4+1)/((p-1)^2*(p^3+p^2+p+1)*(p^4+p^3+p^2+p+1))) \\ Amiram Eldar, Aug 26 2022