A344265 Dirichlet g.f.: Product_{k>=2} (1 + k^(-s))^(2^(k-1)).
1, 2, 4, 9, 16, 40, 64, 144, 262, 544, 1024, 2148, 4096, 8320, 16448, 33060, 65536, 131724, 262144, 525456, 1048832, 2099200, 4194304, 8393568, 16777336, 33562624, 67109892, 134234688, 268435456, 536906368, 1073741824, 2147550392, 4294971392, 8590065664, 17179870208
Offset: 1