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Decimal expansion of Sum_{n>=1} sin(n)/n^(3/2).
1

%I #7 Mar 27 2026 05:18:24

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

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

%U 4,5,4,7,4,1,7,9,3,6,3,7,4,1,8,7,2,9,5,5,5,4,9,7,8

%N Decimal expansion of Sum_{n>=1} sin(n)/n^(3/2).

%e 1.05055884712780162108...

%t Im[PolyLog[3/2,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)).

%K nonn,cons

%O 1,3

%A _R. J. Mathar_, Mar 24 2026