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

A071735

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

Terms

    a(0) =1a(1) =2a(2) =5a(3) =15a(4) =47a(5) =152a(6) =504a(7) =1705a(8) =5863a(9) =20436a(10) =72046a(11) =256462a(12) =920550a(13) =3328192a(14) =12109270a(15) =44305245a(16) =162911415a(17) =601700700a(18) =2231255070a(19) =8304089970a(20) =31007435970a(21) =116130446640a(22) =436137803400

External references