A068512 Numerators of arithmetic derivative of n/2: A003415(n)/2 - n/4; denominators: A010685.

-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, 27, 9, -27, 8, -29, 32, -5, 1, -11, 21, -35, 1, -7, 24, -39, 10, -41, 13, 33, 1, -45, 44, -21, 10, -11, 15, -51, 27, -23, 32, -13, 1, -57, 31, -59

Offset: 1

Author

Reinhard Zumkeller, Mar 19 2002

Keywords

• sign

Comments

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

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

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

Crossrefs

For definition of arithmetic derivative: A003415.