a(n) = binomial(5n+6, 4)/5 for n >= 0.

Terms

a(0) =3a(1) =66a(2) =364a(3) =1197a(4) =2990a(5) =6293a(6) =11781a(7) =20254a(8) =32637a(9) =49980a(10) =73458a(11) =104371a(12) =144144a(13) =194327a(14) =256595a(15) =332748a(16) =424711a(17) =534534a(18) =664392a(19) =816585a(20) =993538a(21) =1197801a(22) =1432049a(23) =1699082a(24) =2001825a(25) =2343328a(26) =2726766a(27) =3155439a(28) =3632772a(29) =4162315