a(n) = (n+1)(n+2)^3*(n+3)^2*(n+4)(5n^2 + 23n + 30)/8640.

Terms

a(0) =1a(1) =29a(2) =320a(3) =2100a(4) =9898a(5) =37044a(6) =116928a(7) =323730a(8) =807675a(9) =1851421a(10) =3955952a(11) =7966322a(12) =15249780a(13) =27941200a(14) =49273344a(15) =84012300a(16) =139021461a(17) =223980645a(18) =352290400a(19) =542195192a(20) =818163038a(21) =1212563220a(22) =1767688000a(23) =2538168750a(24) =3593841615