Dirichlet g.f.: Product_{k>=2} 1 / (1 - k^(-s))^binomial(k+6,7).

Terms

a(0) =1a(1) =8a(2) =36a(3) =156a(4) =330a(5) =1080a(6) =1716a(7) =4512a(8) =7101a(9) =14080a(10) =19448a(11) =43776a(12) =50388a(13) =91248a(14) =128160a(15) =209910a(16) =245157a(17) =431424a(18) =480700a(19) =800800a(20) =949806a(21) =1339624a(22) =1560780a(23) =2576376a(24) =2684190a(25) =3768960a(26) =4512144a(27) =6267472a(28) =6724520a(29) =10046160