a(n) = n*(n+1)*(n+2)*(n+4)*(n+23)/120.

Terms

a(0) =6a(1) =30a(2) =91a(3) =216a(4) =441a(5) =812a(6) =1386a(7) =2232a(8) =3432a(9) =5082a(10) =7293a(11) =10192a(12) =13923a(13) =18648a(14) =24548a(15) =31824a(16) =40698a(17) =51414a(18) =64239a(19) =79464a(20) =97405a(21) =118404a(22) =142830a(23) =171080a(24) =203580a(25) =240786a(26) =283185a(27) =331296a(28) =385671a(29) =446896