G.f.: Sum_{k>=0} q(k)^2 * x^k / Sum_{k>=0} q(k)*x^k, where q(n) is A000009(n).

Terms

a(0) =1a(1) =0a(2) =0a(3) =2a(4) =0a(5) =4a(6) =4a(7) =8a(8) =4a(9) =20a(10) =20a(11) =28a(12) =38a(13) =52a(14) =80a(15) =128a(16) =128a(17) =176a(18) =300a(19) =316a(20) =476a(21) =648a(22) =832a(23) =972a(24) =1428a(25) =1720a(26) =2340a(27) =3014a(28) =3844a(29) =4588