Dirichlet g.f.: Product_{k>=2} 1 / (1 - k^(-s))^binomial(k+4,5).

Terms

a(0) =1a(1) =6a(2) =21a(3) =77a(4) =126a(5) =378a(6) =462a(7) =1184a(8) =1518a(9) =2758a(10) =3003a(11) =7497a(12) =6188a(13) =11340a(14) =14274a(15) =23154a(16) =20349a(17) =40734a(18) =33649a(19) =64218a(20) =62832a(21) =83798a(22) =80730a(23) =168756a(24) =126756a(25) =179634a(26) =198709a(27) =288358a(28) =237336a(29) =437694