A Jacobsthal Catalan convolution.

Terms

a(0) =0a(1) =1a(2) =2a(3) =6a(4) =15a(5) =41a(6) =113a(7) =327a(8) =982a(9) =3066a(10) =9892a(11) =32820a(12) =111390a(13) =385042a(14) =1350722a(15) =4795246a(16) =17191535a(17) =62139697a(18) =226167557a(19) =828085651a(20) =3047683955a(21) =11267975677a(22) =41829610607a(23) =155848125601a(24) =582566960465