A082587 G.f.: (3+x+x^2+2*x^3)/(1-x^2-x^4).

3, 1, 4, 3, 7, 4, 11, 7, 18, 11, 29, 18, 47, 29, 76, 47, 123, 76, 199, 123, 322, 199, 521, 322, 843, 521, 1364, 843, 2207, 1364, 3571, 2207, 5778, 3571, 9349, 5778, 15127, 9349, 24476, 15127, 39603, 24476, 64079, 39603, 103682, 64079, 167761, 103682, 271443, 167761