%I A088016
%S A088016 1,1,6,17,56,179,576,1851,5950,19125,61474,197597,635140,2041543,
%T A088016 6562172,21092919,67799386,217928905,700493182,2251609065,7237391472,
%U A088016 23263290299,74775653304,240352858739,772570939222,2483290023101
%N A088016 To obtain a(n), add the square of the n-th partial sum to the n-th partial 
               sum of the squares, then divide this result by a(n-1), for all n>
               1, with a(0)=1, a(1)=1.
%F A088016 a(n)=3a(n-1)+a(n-2)-a(n-3) for n>3; G.f.: (1-2*x+2*x^2-x^3)/(1-3*x-x^2+x^3); 
               A(x)=A030186(x)/(1-x+x^2).
%o A088016 (PARI) a(n)=(sum(k=0,n-1,a(k))^2+sum(k=0,n-1,a(k)^2))/a(n-1)
%Y A088016 Cf. A030186, A087640.
%Y A088016 Sequence in context: A054492 A128525 A083334 this_sequence A010330 A109311 
               A151350
%Y A088016 Adjacent sequences: A088013 A088014 A088015 this_sequence A088017 A088018 
               A088019
%K A088016 nonn
%O A088016 0,3
%A A088016 Paul D. Hanna (pauldhanna(AT)juno.com), Sep 18 2003