A101656 a(n)=Product{k=0..n, 1+0^A101650(k)}/2.

1, 2, 2, 4, 4, 4, 4, 8, 16, 16, 16, 16, 16, 16, 32, 64, 64, 128, 256, 256, 256, 256, 512, 512, 1024, 1024, 1024, 1024, 2048, 4096, 4096, 8192, 8192, 8192, 8192, 16384, 16384, 32768, 65536, 65536, 65536, 65536, 131072, 131072, 131072, 262144, 262144