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Numerators of arithmetic derivative of n/2: A003415(n)/2 - n/4; denominators: A010685.
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%I #3 Mar 30 2012 18:50:20

%S -1,0,-1,1,-3,1,-5,4,3,1,-9,5,-11,1,1,12,-15,6,-17,7,-1,1,-21,16,-5,1,

%T 27,9,-27,8,-29,32,-5,1,-11,21,-35,1,-7,24,-39,10,-41,13,33,1,-45,44,

%U -21,10,-11,15,-51,27,-23,32,-13,1,-57,31,-59

%N Numerators of arithmetic derivative of n/2: A003415(n)/2 - n/4; denominators: A010685.

%C For all k>0: a(2*k)=A003415(k) with denominator=A010685(2*k)=1;

%C for primes p>2: a(2*p)=1 with denominator=A010685(2*p)=1,

%C and a(p)=2-p with denominator=A010685(p)=4.

%Y For definition of arithmetic derivative: A003415.

%K sign

%O 1,5

%A _Reinhard Zumkeller_, Mar 19 2002