A112964 Sum(mu(i)*sigma(j): i+j=n), with mu=A008683 and sigma=A000203.

0, 1, 2, 0, 0, -6, -3, -12, -11, -13, -22, -19, -20, -30, -41, -15, -55, -24, -52, -41, -59, -24, -109, -22, -78, -42, -111, -26, -131, -2, -119, -75, -133, -8, -214, 7, -175, -68, -176, -17, -209, 14, -231, -73, -175, 45, -349, -11, -236, -20, -236, -53, -384, 68, -321, -56, -270, 1, -457, 41, -328, -48

Offset: 1

Author

Reinhard Zumkeller, Oct 07 2005

Keywords

• sign

Examples

			a(5)=mu(1)*sigma(4)+mu(2)*sigma(3)+mu(3)*sigma(2)+mu(4)*sigma(1)
= 1*7 - 1*4 - 1*3 + 0*1 = 0.
		

Links

• Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A024916, A000385, A068341, A112962, A112963, A112966, A112968.

Programs

PARI

a(n)=sum(i=1,n-1,moebius(i)*sigma(n-i)) \\ Charles R Greathouse IV, Feb 14 2013