a(n) = 42*(n+1) * binomial(n+5,10).

Terms

a(0) =252a(1) =3234a(2) =22176a(3) =108108a(4) =420420a(5) =1387386a(6) =4036032a(7) =10618608a(8) =25729704a(9) =58198140a(10) =124156032a(11) =251839224a(12) =488864376a(13) =912964668a(14) =1647455040a(15) =2883046320a(16) =4908043140a(17) =8149451310a(18) =13228094880a(19) =21031510500a(20) =32809156380a(21) =50295355110a(22) =75866394240a(23) =112739346720