a(n) = hypergeom([1/2 - n/2, -n/2], [-n], -72).

Terms

a(0) =1a(1) =1a(2) =19a(3) =37a(4) =379a(5) =1045a(6) =7867a(7) =26677a(8) =168283a(9) =648469a(10) =3677563a(11) =15350005a(12) =81546139a(13) =357846229a(14) =1825676731a(15) =8266908853a(16) =41129090011a(17) =189933449365a(18) =930257069563