This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A112968 #17 Jun 09 2023 21:19:57 %S A112968 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 A112968 1,-12,1,-11,7,-8,-5,-8,-1,-18,3,-10,1,-13,1,-7,13,-12,-2,-13,6,-16,3, %U A112968 -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 A112968 a(n) = Sum_{i+j=n} mu(i)*Omega(j), with mu=A008683 and Omega=A001222. %H A112968 Reinhard Zumkeller, <a href="/A112968/b112968.txt">Table of n, a(n) for n = 1..10000</a> %e A112968 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 A112968[n_]:=Plus@@Table[MoebiusMu[i]*PrimeOmega[n-i],{i,1,n-1}]; Array[A112968,200] (* Enrique Pérez Herrero, Feb 28 2012 *) %o A112968 (Haskell) %o A112968 a112968 n = sum $ zipWith (*) %o A112968 a008683_list $ reverse $ take (n - 1) a001222_list %o A112968 -- _Reinhard Zumkeller_, Feb 29 2012 %Y A112968 Cf. A013939, A112967, A068341, A112962, A112963, A112964, A112966. %K A112968 sign %O A112968 1,6 %A A112968 _Reinhard Zumkeller_, Oct 07 2005 %E A112968 Corrected by _N. J. A. Sloane_, Mar 01 2006