

A117001


Sum_{dn, sqrt(n) < d <= n} Jacobi(2,d)*d  Sum_{dn, 1 <= d < sqrt(n)} Jacobi(2,d)*d..


7



0, 1, 4, 1, 6, 4, 6, 1, 8, 6, 12, 2, 14, 6, 12, 1, 16, 11, 20, 6, 12, 12, 22, 2, 24, 14, 16, 6, 30, 22, 30, 1, 24, 16, 24, 11, 38, 20, 28, 4, 40, 12, 44, 12, 14, 22, 46, 2, 48, 29, 32, 14, 54, 16, 48, 8, 40, 30, 60, 22, 62, 30, 46, 1, 56, 24, 68, 16, 44, 38, 70, 11, 72, 38, 28, 20, 96, 28
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OFFSET

1,3


REFERENCES

H. J. S. Smith, Report on the Theory of Numbers, reprinted in Vol. 1 of his Collected Math. Papers, Chelsea, NY, 1979, see p. 323.


LINKS

Table of n, a(n) for n=1..78.


MAPLE

with(numtheory); A117001:=proc(n) local d, t1, t2; t1:=0; t2:=0; for d from 1 to n do if n mod d = 0 then if d^2>n then t1:=t1+jacobi(2, d)*d; fi; if d^2<n then t2:=t2+jacobi(2, d)*d; fi; fi; od: t1t2; end;


CROSSREFS

Cf. A117000.
Sequence in context: A021710 A127555 A192085 * A206787 A192066 A098986
Adjacent sequences: A116998 A116999 A117000 * A117002 A117003 A117004


KEYWORD

sign


AUTHOR

N. J. A. Sloane, Apr 15 2006


STATUS

approved



