A344206 Dirichlet g.f.: Product_{k>=2} 1 / (1 - k^(-s))^binomial(k+5,6).
1, 7, 28, 112, 210, 658, 924, 2388, 3409, 6475, 8008, 18746, 18564, 33600, 44640, 72408, 74613, 137746, 134596, 235655, 256102, 352066, 376740, 680260, 615930, 866229, 994336, 1400980, 1344904, 2172800, 1947792, 2929332, 2984905, 3784914, 4032420, 6128858, 5245786
Offset: 1