cp's OEIS Frontend

A112963 Sum(mu(i)*tau(j): i+j=n), with mu=A008683 and tau=A000005.

%I A112963 #9 Jul 13 2013 12:03:22
%S A112963 0,1,1,-1,-1,-4,-2,-5,-5,-4,-7,-4,-6,-7,-11,0,-12,-1,-11,-6,-12,-1,
%T A112963 -20,2,-13,-2,-16,2,-19,9,-18,-9,-20,4,-31,10,-21,-2,-18,7,-20,14,-26,
%U A112963 -3,-16,13,-40,5,-26,7,-22,-1,-40,18,-32,2,-21,10,-40,16,-25,5,-21,17,-41,31,-40,-4,-14,30,-38,3,-39,8,-21,14,-58
%N A112963 Sum(mu(i)*tau(j): i+j=n), with mu=A008683 and tau=A000005.
%H A112963 Reinhard Zumkeller, <a href="/A112963/b112963.txt">Table of n, a(n) for n = 1..10000</a>
%e A112963 a(5)=mu(1)*tau(4)+mu(2)*tau(3)+mu(3)*tau(2)+mu(4)*tau(1)
%e A112963 = 1*3 - 1*2 - 1*2 + 0*1 = -1.
%o A112963 (Haskell)
%o A112963 a112963 n = sum $ zipWith (*)
%o A112963    a008683_list $ reverse $ take (n - 1) a000005_list
%o A112963 -- _Reinhard Zumkeller_, Feb 29 2012
%Y A112963 Cf. A006218, A055507, A068341, A112962, A112964, A112966, A112968.
%K A112963 sign
%O A112963 1,6
%A A112963 _Reinhard Zumkeller_, Oct 07 2005