Dirichlet g.f.: Product_{k>=2} 1 / (1 - k^(-s))^binomial(k+2,3).

Terms

a(0) =1a(1) =4a(2) =10a(3) =30a(4) =35a(5) =96a(6) =84a(7) =220a(8) =220a(9) =360a(10) =286a(11) =888a(12) =455a(13) =896a(14) =1030a(15) =1741a(16) =969a(17) =2580a(18) =1330a(19) =3470a(20) =2611a(21) =3168a(22) =2300a(23) =7936a(24) =3555a(25) =5096a(26) =5524a(27) =8820a(28) =4495a(29) =13240