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A373863
Decimal expansion of Sum_{k>=1} log(k)/(k^2-k+1).
0
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
1,3
FORMULA
Equals Sum_{k>=1} log(k+1)/(k^2+k+1).
EXAMPLE
1.0981067917544222069517...
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:
PROG
(PARI) default(realprecision, 200); sumpos(k=1, log(k+1)/(k^2+k+1)) \\ Vaclav Kotesovec, Jun 28 2024
CROSSREFS
Sequence in context: A155683 A343469 A261813 * A198920 A354593 A244115
KEYWORD
nonn,cons
AUTHOR
R. J. Mathar, Jun 19 2024
STATUS
approved