Expansion of e.g.f. exp(-5*x) / (1-x)^5.

Terms

a(0) =1a(1) =0a(2) =5a(3) =10a(4) =105a(5) =620a(6) =5725a(7) =52950a(8) =571025a(9) =6686200a(10) =85871925a(11) =1193029250a(12) =17846277625a(13) =285737086500