A034737 Dirichlet convolution of b_n=2^(n-1) with sigma(n).

1, 5, 8, 21, 22, 64, 72, 181, 285, 590, 1036, 2256, 4110, 8424, 16496, 33269, 65554, 132081, 262164, 526062, 1048896, 2100284, 4194328, 8395760, 16777343, 33566790, 67109980, 134242920, 268435486, 536922688, 1073741856, 2147583093