a(n) = 5*(n+1)*binomial(n+2, 5)/2.

Terms

a(0) =10a(1) =75a(2) =315a(3) =980a(4) =2520a(5) =5670a(6) =11550a(7) =21780a(8) =38610a(9) =65065a(10) =105105a(11) =163800a(12) =247520a(13) =364140a(14) =523260a(15) =736440a(16) =1017450a(17) =1382535a(18) =1850695a(19) =2443980a(20) =3187800a(21) =4111250a(22) =5247450a(23) =6633900a(24) =8312850a(25) =10331685a(26) =12743325a(27) =15606640a(28) =18986880a(29) =22956120