Dirichlet g.f.: Product_{k>=2} 1 / (1 - k^(-s))^binomial(k+5,6).

Terms

a(0) =1a(1) =7a(2) =28a(3) =112a(4) =210a(5) =658a(6) =924a(7) =2388a(8) =3409a(9) =6475a(10) =8008a(11) =18746a(12) =18564a(13) =33600a(14) =44640a(15) =72408a(16) =74613a(17) =137746a(18) =134596a(19) =235655a(20) =256102a(21) =352066a(22) =376740a(23) =680260a(24) =615930a(25) =866229a(26) =994336a(27) =1400980a(28) =1344904a(29) =2172800