A373863 Decimal expansion of Sum_{k>=1} log(k)/(k^2-k+1).

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

Offset: 1

Author

R. J. Mathar, Jun 19 2024

Keywords

• nonn
• cons

Examples

			1.0981067917544222069517...
		

Crossrefs

Cf. A085609, A131688.

Programs

Maple

g := (1-e+e^2)^(-1) ;
x :=0.0 ;
for i from 0 to 350 do
    coeftayl(g,e=0,i) ;
    x-%*Zeta(1,2+i) ;
    x := evalf(%) ;
    print(%) ;
end do:

PARI

default(realprecision, 200); sumpos(k=1, log(k+1)/(k^2+k+1)) \\ Vaclav Kotesovec, Jun 28 2024

Formula

Equals Sum_{k>=1} log(k+1)/(k^2+k+1).