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

A071736

Expansion of (1+x^3*C^3)*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) =29a(4) =96a(5) =324a(6) =1111a(7) =3861a(8) =13572a(9) =48178a(10) =172482a(11) =622098a(12) =2258416a(13) =8246190a(14) =30264435a(15) =111585765a(16) =413126460a(17) =1535267250a(18) =5724840990a(19) =21413721510a(20) =80326153440a(21) =302105210160

External references