a(n) = binomial(n+3,2)*binomial(n+4,3)*binomial(n+5,5)/12.

Terms

a(0) =1a(1) =30a(2) =350a(3) =2450a(4) =12348a(5) =49392a(6) =166320a(7) =490050a(8) =1297725a(9) =3149146a(10) =7105098a(11) =15071420a(12) =30321200a(13) =58262400a(14) =107535744a(15) =191548044a(16) =330569505a(17) =554550150a(18) =906840550a(19) =1449035742a(20) =2267198780a(21) =3479762000a(22) =5247450000a(23) =7785618750a(24) =11379460365a(25) =16402583106a(26) =23339541330