%I A111376
%S A111376 1,1,2,1,3,1,2,1,3,1,3,1,4,2,1,1,1,3,1,4,6,1,1,4,5,3,6,4,9,4,5,0,3,4,4,
%T A111376 18,1,3,4,7,0,3,25,1,5,11,4,12,7,32,11,15,15,4,24,21,27,21,31,24,17,41,
%U A111376 31,4,38,50,18,36,46,41,36,45,67,12,57,50,38,95,51,73,14,82,32,27,171,
               44
%V A111376 1,1,2,1,3,1,2,-1,3,1,3,1,4,2,-1,-1,1,3,1,4,6,1,-1,-4,5,-3,6,4,9,-4,-5,
               0,-3,4,4,
%W A111376 18,1,-3,-4,-7,0,-3,25,1,5,-11,-4,-12,-7,32,11,15,-15,4,-24,-21,27,21,
               31,-24,17,-41,
%X A111376 -31,4,38,50,-18,36,-46,-41,-36,45,67,-12,57,-50,-38,-95,51,73,14,82,-32,
               -27,-171,44
%N A111376 Let qf(a,q) = Product(1-a*q^j,j=0..infinity); g.f. is qf(q^3,q^7)*qf(q^5,
               q^7)*qf(q^6,q^7)/(qf(q,q^7)*qf(q^2,q^7)*qf(q^4,q^7)).
%F A111376 Euler transform of period 7 sequence [1, 1, -1, 1, -1, -1, 0, ...]. - 
               Michael Somos Nov 11 2005
%F A111376 G.f.: Product_{k>0} (1-x^(7k-4))(1-x^(7k-2))(1-x^(7k-1))/((1-x^(7k-3))*(1-x^(7k-5))(1-x^(7k-6))) 
               . - Michael Somos Nov 11 2005
%o A111376 (PARI) {a(n)=if(n<0, 0, polcoeff( prod(k=1,n, (1-x^k)^-kronecker(-7,k), 
               1+x*O(x^n)), n))} /* Michael Somos Nov 11 2005 */
%Y A111376 Cf. A111375.
%Y A111376 Sequence in context: A094959 A162696 A108103 this_sequence A157226 A156249 
               A164677
%Y A111376 Adjacent sequences: A111373 A111374 A111375 this_sequence A111377 A111378 
               A111379
%K A111376 sign
%O A111376 0,3
%A A111376 N. J. A. Sloane (njas(AT)research.att.com), Nov 09 2005