A139145 a(1) = 1, a(2*n) = a(n)^2, a(2*n+1) = a(n)*(a(n)+1).

1, 1, 2, 1, 2, 4, 6, 1, 2, 4, 6, 16, 20, 36, 42, 1, 2, 4, 6, 16, 20, 36, 42, 256, 272, 400, 420, 1296, 1332, 1764, 1806, 1, 2, 4, 6, 16, 20, 36, 42, 256, 272, 400, 420, 1296, 1332, 1764, 1806, 65536, 65792, 73984, 74256, 160000, 160400, 176400, 176820, 1679616