Binomial transform of A001541 (with interpolated zeros).

Terms

a(0) =1a(1) =1a(2) =4a(3) =10a(4) =36a(5) =116a(6) =400a(7) =1352a(8) =4624a(9) =15760a(10) =53824a(11) =183712a(12) =627264a(13) =2141504a(14) =7311616a(15) =24963200a(16) =85229824a(17) =290992384a(18) =993510400a(19) =3392055808a(20) =11581203456a(21) =39540700160a(22) =135000395776a(23) =460920178688