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Search: id:A097536
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| A097536 |
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-Sum_{k=1..2*q-1} J(k,q)*J(-4,k)*k/4 as q runs through numbers == 3 (mod 4), where J(i,j) is the Jacobi symbol. |
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+0
2
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| 1, 4, 7, 12, 19, 20, 1, 40, 38, 52, 63, 56, 78, 92, 85, -8, 123, 116, 6, 168, 129, 156, 206, 172, 28, 228, 197, 244, 278, 248, 270, 320, 279, 12, 381, 292, 8, 444, 364, 420, 467, 364, -38, 24, 471, 492, 550, 520, 540, 660, 508, 80, 737, 556, 692, 720, 575, 744, 846, 712, 1
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Suggested by a formula in Petersson.
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REFERENCES
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H. Petersson, Modulfunktionen und Quadratische Formen, Springer-Verlag, 1982; p. 103.
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MAPLE
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with(numtheory); J:=jacobi; f:=proc(q) add( J(k, q)*J(-4, k)*k, k=1..2*q-1); (-1)*(%/4); end;
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CROSSREFS
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Cf. A097537.
Adjacent sequences: A097533 A097534 A097535 this_sequence A097537 A097538 A097539
Sequence in context: A074148 A132297 A007333 this_sequence A117950 A022809 A020732
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KEYWORD
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sign
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AUTHOR
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njas, Aug 27 2004
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