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Decimal expansion of Sum_{n>=1} sin(n)/n^(1/3).
0

%I #7 Mar 27 2026 05:19:29

%S 1,0,1,5,9,5,1,2,2,0,1,9,9,4,1,7,4,0,7,4,6,1,7,2,7,5,5,9,6,4,5,1,9,6,

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

%U 6,0,5,2,0,6,2,5,9,0,9,6,2,7,3,6,4,7,5,9,8,6,7,7,4,5,2

%N Decimal expansion of Sum_{n>=1} sin(n)/n^(1/3).

%e 1.0159512201994...

%t Im[PolyLog[1/3,E^I]] ;

%t N[%,100] ; (* _R. J. Mathar_, Mar 27 2026 *)

%Y Cf. A096444 (denom. n), A096418 (denom. n^2), A223709 (denom. n^3), A263193 (denom. n^(1/2)), A394549 (denom. n^(3/2)).

%K nonn,cons

%O 1,4

%A _R. J. Mathar_, Mar 24 2026