a(n) = 55*(n+1)*binomial(n+4,12).

Terms

a(0) =495a(1) =7150a(2) =55055a(3) =300300a(4) =1301300a(5) =4764760a(6) =15315300a(7) =44341440a(8) =117781950a(9) =290990700a(10) =675745070a(11) =1487285800a(12) =3123300180a(13) =6292363000a(14) =12216990500a(15) =22946695200a(16) =41829913125a(17) =74211187050a(18) =128442439125a(19) =217325608500a(20) =360139579800a(21) =585448578000a(22) =934943638200