A097541 Sum_{k=1..n-1} J(2*n,k)*k, where J(i,j) is the Jacobi symbol.

0, 1, 1, -2, 4, -4, 3, 16, 3, 0, 15, -12, 16, -16, 10, 0, 24, 54, 51, -28, 56, -28, 1, 0, -10, 0, 25, -40, 96, -48, 85, 256, 52, 0, 94, -8, 28, -76, 88, 0, 196, 0, 71, -92, 60, -80, 35, 0, 49, 500, 206, -100, 76, -4, 176, 0, 36, 0, 317, -136, 344, -160, 14, 0, 212, 0, 91, -184, 416, -152, 205, 864, 156

Offset

1,4

Comments

Suggested by a formula in Petersson.

References

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

Links

Table of n, a(n) for n=1..73.

Maple

with(numtheory); J:=jacobi; f:=proc(n) add( J(n, k)*k, k=1..(n/2-1)); end;

Crossrefs

Cf. A097540, A097542-A097544.

Sequence in context: A151846 A131118 A140765 * A151819 A079560 A330601

Adjacent sequences: A097538 A097539 A097540 * A097542 A097543 A097544

Keyword

sign

Author

N. J. A. Sloane, Aug 27 2004

Status

approved