A024945 a(n) = Sum(a(2i-1)*a(n-2i+1), i = 1,2,...,[ (n+2)/4 ]).

1, 1, 2, 2, 2, 6, 10, 14, 26, 50, 90, 162, 290, 622, 1186, 2206, 4274, 8802, 17378, 33538, 65986, 136790, 274282, 540686, 1082698, 2238978, 4537082, 9091330, 18322466, 38230558, 78041890, 157766622, 321334306, 670282690, 1377130434, 2806589186