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

A071727

Expansion of (1+x^3*C)*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) =45a(5) =141a(6) =457a(7) =1520a(8) =5159a(9) =17797a(10) =62218a(11) =219946a(12) =784890a(13) =2823666a(14) =10229733a(15) =37289210a(16) =136665195a(17) =503301525a(18) =1861550310a(19) =6912114330a(20) =25755891510a(21) =96279420870a(22) =360961760250

External references