Denominators of first derivatives of Catalan numbers (as continuous functions of n).

Terms

a(0) =1a(1) =2a(2) =3a(3) =12a(4) =30a(5) =30a(6) =105a(7) =840a(8) =252a(9) =1260a(10) =6930a(11) =1980a(12) =12870a(13) =2574a(14) =2145a(15) =34320a(16) =291720a(17) =79560a(18) =151164a(19) =1511640a(20) =406980a(21) =4476780a(22) =51482970a(23) =13728792a(24) =171609900a(25) =318704100a(26) =84362850a(27) =1181079900a(28) =311375610a(29) =81940950