Binomial transform of Catalan numbers.

Terms

a(0) =1a(1) =2a(2) =5a(3) =15a(4) =51a(5) =188a(6) =731a(7) =2950a(8) =12235a(9) =51822a(10) =223191a(11) =974427a(12) =4302645a(13) =19181100a(14) =86211885a(15) =390248055a(16) =1777495635a(17) =8140539950a(18) =37463689775a(19) =173164232965a(20) =803539474345