G.f. A(x) satisfies: x*A(x) + x^2*A(x)^2 = C(x)^2, where C(x) = x + C(x)^2 is a g.f. of the Catalan numbers (A000108).
A273958
G.f. A(x) satisfies: x*A(x) + x^2*A(x)^2 = C(x)^2, where C(x) = x + C(x)^2 is a g.f. of the Catalan numbers (A000108).
Terms
- a(0) =1a(1) =2a(2) =4a(3) =10a(4) =30a(5) =96a(6) =313a(7) =1038a(8) =3512a(9) =12100a(10) =42286a(11) =149440a(12) =533076a(13) =1917000a(14) =6942660a(15) =25300034a(16) =92701746a(17) =341319648a(18) =1262176462a(19) =4685724500a(20) =17457027376a(21) =65247128392a(22) =244584468174a(23) =919319871360
External references
- oeis: A273958