A034775 Dirichlet convolution of d(n) (# of divisors) with Bell numbers.

1, 3, 4, 10, 17, 62, 205, 894, 4147, 21183, 115977, 678700, 4213599, 27644849, 190899360, 1382960323, 10480142149, 82864878205, 682076806161, 5832742247416, 51724158235786, 474869816388707, 4506715738447325