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Sum_{k=1..2*n-1} J(4*n,k)*k, where J(i,j) is the Jacobi symbol.
2

%I #4 Mar 30 2012 16:50:01

%S 1,-2,-4,16,0,-12,-16,0,54,-28,-28,0,0,-40,-48,256,0,-8,-76,0,0,-92,

%T -80,0,500,-100,-4,0,0,-136,-160,0,0,-184,-152,864,0,-164,-208,0,0,

%U -216,-252,0,0,-296,-224,0,2058,-12,-312,0,0,-12,-368,0,0,-396,-340,0,0,-336,32,4096,0,-448,-492,0,0,-536,-464,0,0,-492

%N Sum_{k=1..2*n-1} J(4*n,k)*k, where J(i,j) is the Jacobi symbol.

%C Suggested by a formula in Petersson.

%D H. Petersson, Modulfunktionen und Quadratische Formen, Springer-Verlag, 1982; p. 98.

%Y Cf. A097542.

%K sign

%O 1,2

%A _N. J. A. Sloane_, Aug 27 2004