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

A071744

Expansion of (1+x^4*C)*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) =9a(3) =28a(4) =91a(5) =301a(6) =1015a(7) =3480a(8) =12099a(9) =42562a(10) =151228a(11) =541960a(12) =1956734a(13) =7110845a(14) =25989701a(15) =95475760a(16) =352339875a(17) =1305592470a(18) =4855786680a(19) =18120495720a(20) =67828282410a(21) =254606644050a(22) =958182559854

External references