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%I #17 Jun 09 2023 21:19:57
%S 0,0,1,0,0,-2,-2,-2,-2,-2,-6,-2,-4,-2,-7,-1,-5,0,-7,-3,-9,1,-11,2,-7,
%T 1,-12,1,-11,7,-8,-5,-8,-1,-18,3,-10,1,-13,1,-7,13,-12,-2,-13,6,-16,3,
%U -11,3,-15,-4,-16,13,-15,-4,-15,4,-17,11,-14,4,-13,7,-12,15,-17,-5,-15,16,-13,3,-12,3,-20,3,-27,19,-20,-3,-11,3
%N a(n) = Sum_{i+j=n} mu(i)*Omega(j), with mu=A008683 and Omega=A001222.
%H Reinhard Zumkeller, <a href="/A112968/b112968.txt">Table of n, a(n) for n = 1..10000</a>
%e a(5) = mu(1)*Omega(4)+mu(2)*Omega(3)+mu(3)*Omega(2)+mu(4)*Omega(1) = 1*2 - 1*1 - 1*1 + 0*1 = 0.
%t A112968[n_]:=Plus@@Table[MoebiusMu[i]*PrimeOmega[n-i],{i,1,n-1}]; Array[A112968,200] (* Enrique Pérez Herrero, Feb 28 2012 *)
%o (Haskell)
%o a112968 n = sum $ zipWith (*)
%o a008683_list $ reverse $ take (n - 1) a001222_list
%o -- _Reinhard Zumkeller_, Feb 29 2012
%Y Cf. A013939, A112967, A068341, A112962, A112963, A112964, A112966.
%K sign
%O 1,6
%A _Reinhard Zumkeller_, Oct 07 2005
%E Corrected by _N. J. A. Sloane_, Mar 01 2006