a(n) = 165*(n+1)*binomial(n+4,11)/4.

Terms

a(0) =330a(1) =4455a(2) =32175a(3) =165165a(4) =675675a(5) =2342340a(6) =7147140a(7) =19691100a(8) =49884120a(9) =117781950a(10) =261891630a(11) =552882330a(12) =1115464350a(13) =2162284740a(14) =4045090500a(15) =7330194300a(16) =12907516050a(17) =22145248125a(18) =37105593525a(19) =60841155375a(20) =97796523825a(21) =154345534200a(22) =239501691000a(23) =365847510600