Triangle read by rows, T(n, k) = 4^k * Gamma(n + k + 1/2) / Gamma(n - k + 1/2).

Terms

a(0) =1a(1) =1a(2) =3a(3) =1a(4) =15a(5) =105a(6) =1a(7) =35a(8) =945a(9) =10395a(10) =1a(11) =63a(12) =3465a(13) =135135a(14) =2027025a(15) =1a(16) =99a(17) =9009a(18) =675675a(19) =34459425a(20) =654729075a(21) =1a(22) =143a(23) =19305a(24) =2297295a(25) =218243025a(26) =13749310575a(27) =316234143225a(28) =1a(29) =195