%I
%S 1,3,3,6,3,6,6,3,6,3,6,3,6,3,6,2,6,6,6,3,6,4,6,6,4,3,3,6,3,3,3,3,6,2,
%T 3,3,1,6,6,2,6,6,3,3,6,1,6,6,6,3,6,6,3,6,1,6,6,2,3,6,6,3,3,4,6,6,2,3,
%U 6,4,3,6,2,6,3,6,3,6,2,6,6,4,3,3,2,3,3,6,3,3,5,3,3,2,6,6,2,3,6,1,3,3,5,3,6
%N Every 2nd term of A083946 where the selfconvolution 2nd power is congruent modulo 4 to A083946, which consists entirely of numbers 1 through 6.
%e A(x) = 1 + 3*x + 3*x^2 + 6*x^3 + 3*x^4 + 6*x^5 + 6*x^6 +...
%e A(x)^2 = 1 + 6*x + 15*x^2 + 30*x^3 + 51*x^4 + 66*x^5 +...
%e A(x)^2 (mod 4) = 1 + 2*x + 3*x^2 + 2*x^3 + 3*x^4 + 2*x^5 +...
%e G(x) = 1 + 6*x + 3*x^2 + 2*x^3 + 3*x^4 + 6*x^5 +...
%e where G(x) is the g.f. of A083946.
%o (PARI) {a(n)=local(d=2,m=6,A=1+m*x); for(j=2,d*n, for(k=1,m,t=polcoeff((A+k*x^j+x*O(x^j))^(1/m),j); if(denominator(t)==1,A=A+k*x^j;break)));polcoeff(A,d*n)}
%Y Cf. A110632, A110633.
%K nonn
%O 0,2
%A _Robert G. Wilson v_ and _Paul D. Hanna_, Aug 30 2005
