A097544 Sum_{k=1..2n-1} J(4*n,k)*k^2, where J(i,j) is the Jacobi symbol.

1, -8, -24, 84, 24, -144, -224, 32, 654, -560, -616, 96, 312, -1120, -1440, 5456, -272, -288, -2888, 96, 1008, -4048, -3680, 576, 16700, -5200, -216, 896, 2088, -8160, -9920, 128, -1584, -12512, -10640, 41496, 4440, -12464, -16224, 2240, -2624, -18144, -21672, 2464, 864, -27232, -21056

Offset

1,2

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..47.

Crossrefs

Cf. A097541-A097543.

Sequence in context: A180888 A296400 A297808 * A128688 A279162 A217016

Adjacent sequences: A097541 A097542 A097543 * A097545 A097546 A097547

Keyword

sign

Author

N. J. A. Sloane, Aug 27 2004

Status

approved