a(n) = (n+1)*(n+2)^2*(n+3)^2*(n+4)^2*(n+5)*(2n+3)/8640.

Terms

a(0) =1a(1) =25a(2) =245a(3) =1470a(4) =6468a(5) =22932a(6) =69300a(7) =185130a(8) =448305a(9) =1002001a(10) =2095093a(11) =4140500a(12) =7796880a(13) =14080080a(14) =24511824a(15) =41314284a(16) =67660425a(17) =107991345a(18) =168413245a(19) =257188162a(20) =385334180a(21) =567352500a(22) =822100500a(23) =1173831750a(24) =1653425865