Sequence resulting from a sum of three repeated binomial(n+3,4) sequences.

Terms

a(0) =1a(1) =2a(2) =7a(3) =11a(4) =25a(5) =35a(6) =65a(7) =85a(8) =140a(9) =175a(10) =266a(11) =322a(12) =462a(13) =546a(14) =750a(15) =870a(16) =1155a(17) =1320a(18) =1705a(19) =1925a(20) =2431a(21) =2717a(22) =3367a(23) =3731a(24) =4550a(25) =5005a(26) =6020a(27) =6580a(28) =7820a(29) =8500