G.f. = Phi^5, where Phi = g.f. for A028930.

Terms

a(0) =1a(1) =0a(2) =10a(3) =10a(4) =50a(5) =80a(6) =210a(7) =320a(8) =690a(9) =970a(10) =1712a(11) =2320a(12) =3580a(13) =4490a(14) =6560a(15) =7872a(16) =10780a(17) =12960a(18) =17180a(19) =19920a(20) =26352a(21) =30240a(22) =38320a(23) =44000a(24) =55310a(25) =60960a(26) =76530a(27) =84010a(28) =101280a(29) =110890