A112966 Sum(mu(i)*omega(j): i+j=n), with mu=A008683 and omega=A001221.

0, 0, 1, 0, -1, -1, -1, -2, -3, -2, -2, -1, -3, -3, -4, 0, -6, -1, -4, -1, -3, -3, -7, 0, -5, -3, -3, 0, -5, 1, -5, -2, -10, -1, -8, 4, -8, -3, -4, 2, -6, 0, -5, -1, -4, -2, -11, 3, -8, -1, -8, -1, -11, 2, -8, 2, -7, -3, -9, 5, -2, -5, -7, 2, -11, 7, -6, 0, -4, 1, -9, 4, -12, -3, -6, 0, -10, 2, -7, -1, -10, -8, -12, 6, -13, -2, -12, 0

Offset

1,8

Links

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Example

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

Prog

(Haskell)
a112966 n = sum $ zipWith (*)
   a008683_list $ reverse $ take (n - 1) a001221_list
-- Reinhard Zumkeller, Feb 29 2012

Crossrefs

Cf. A013939, A112965, A068341, A112962, A112963, A112964, A112968.

Sequence in context: A144365 A152197 A049342 * A286657 A334052 A160570

Adjacent sequences: A112963 A112964 A112965 * A112967 A112968 A112969

Keyword

sign,look

Author

Reinhard Zumkeller, Oct 07 2005

Status

approved