a(n) = (n+1)(n+2)^2*(n+3)^2*(n+4)(7n^2 + 23n + 20)/2880.

Terms

a(0) =1a(1) =25a(2) =235a(3) =1330a(4) =5488a(5) =18228a(6) =51660a(7) =129690a(8) =295845a(9) =624481a(10) =1236235a(11) =2318680a(12) =4153240a(13) =7149520a(14) =11888304a(15) =19174572a(16) =30101985a(17) =46130385a(18) =69177955a(19) =101729782a(20) =146964664a(21) =208902100a(22) =292571500a(23) =404205750a(24) =551461365a(25) =743667561a(26) =992106675