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

A071729

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

Terms

    a(0) =1a(1) =4a(2) =14a(3) =49a(4) =170a(5) =592a(6) =2077a(7) =7347a(8) =26195a(9) =94080a(10) =340136a(11) =1237090a(12) =4523615a(13) =16621732a(14) =61343875a(15) =227296695a(16) =845252415a(17) =3153656040a(18) =11802018060a(19) =44289999150a(20) =166635655320a(21) =628432803024

External references