Square array A(n,k) = (2*n)! [x^n] BesselI(0, 2*sqrt(x))^k read by antidiagonals.

Terms

a(0) =1a(1) =1a(2) =0a(3) =1a(4) =2a(5) =0a(6) =1a(7) =4a(8) =6a(9) =0a(10) =1a(11) =6a(12) =36a(13) =20a(14) =0a(15) =1a(16) =8a(17) =90a(18) =400a(19) =70a(20) =0a(21) =1a(22) =10a(23) =168a(24) =1860a(25) =4900a(26) =252a(27) =0a(28) =1a(29) =12