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

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

%S 1,-8,-24,84,24,-144,-224,32,654,-560,-616,96,312,-1120,-1440,5456,

%T -272,-288,-2888,96,1008,-4048,-3680,576,16700,-5200,-216,896,2088,

%U -8160,-9920,128,-1584,-12512,-10640,41496,4440,-12464,-16224,2240,-2624,-18144,-21672,2464,864,-27232,-21056

%N Sum_{k=1..2n-1} J(4*n,k)*k^2, 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. A097541-A097543.

%K sign

%O 1,2

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