A344203 Dirichlet g.f.: Product_{k>=2} 1 / (1 - k^(-s))^binomial(k+2,3).
1, 4, 10, 30, 35, 96, 84, 220, 220, 360, 286, 888, 455, 896, 1030, 1741, 969, 2580, 1330, 3470, 2611, 3168, 2300, 7936, 3555, 5096, 5524, 8820, 4495, 13240, 5456, 14144, 9405, 11016, 10710, 27072, 9139, 15200, 15210, 31940, 12341, 33992, 14190, 31856, 30715
Offset: 1