Euler transform of powers of 5.

Terms

a(0) =1a(1) =5a(2) =40a(3) =285a(4) =2020a(5) =13876a(6) =93885a(7) =624480a(8) =4100470a(9) =26609290a(10) =170940381a(11) =1088260190a(12) =6872684570a(13) =43088845030a(14) =268374618310