[go: up one dir, main page]

login
Decimal expansion of Sum_{m>=1} (-1)Sigma(m)/m^5.
2

%I #12 Aug 26 2022 05:26:16

%S 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,

%T 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,

%U 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

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

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

%F 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

%e 1.04712764696328011713161991597879838422134952634243...

%o (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

%Y Cf. A049060, A123732, A123733.

%K nonn,cons

%O 1,3

%A _Yasutoshi Kohmoto_, Nov 18 2006

%E More terms from _Amiram Eldar_, Aug 26 2022