Expansion of (1-x)*c(x/(1+x)), where c(x) is the g.f. of the Catalan numbers (A000108).

Terms

a(0) =1a(1) =0a(2) =0a(3) =1a(4) =2a(5) =5a(6) =12a(7) =30a(8) =76a(9) =196a(10) =512a(11) =1353a(12) =3610a(13) =9713a(14) =26324a(15) =71799a(16) =196938a(17) =542895a(18) =1503312a(19) =4179603a(20) =11662902a(21) =32652735a(22) =91695540a(23) =258215664a(24) =728997192a(25) =2062967382a(26) =5850674704a(27) =16626415975a(28) =47337954326