a(n) = (n+1)(n+2)^2*(n+3)^3*(n+4)^2*(n+5)(n^2 + 6n + 10)/86400.

Terms

a(0) =1a(1) =34a(2) =455a(3) =3626a(4) =20580a(5) =91728a(6) =340956a(7) =1099890a(8) =3166449a(9) =8302294a(10) =20131111a(11) =45677996a(12) =97894160a(13) =199645824a(14) =389817072a(15) =732389580a(16) =1329624009a(17) =2340785370a(18) =4008235231a(19) =6693165094a(20) =10923775940a(21) =17459327600a(22) =27374197500a(23) =42166911150a(24) =63900046665a(25) =95377983246