Expansion of (1+x^2*C^2)*C^3, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108.

A071722

Expansion of (1+x^2*C^2)*C^3, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108.

Terms

    a(0) =1a(1) =3a(2) =10a(3) =33a(4) =110a(5) =372a(6) =1276a(7) =4433a(8) =15574a(9) =55250a(10) =197676a(11) =712538a(12) =2585292a(13) =9434830a(14) =34610400a(15) =127553745a(16) =472055910a(17) =1753616370a(18) =6536826780a(19) =24443315550a(20) =91664179620a(21) =344655239760

External references