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

A071731

Expansion of (1+x^3*C^2)*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) =46a(5) =146a(6) =477a(7) =1595a(8) =5434a(9) =18798a(10) =65858a(11) =233206a(12) =833340a(13) =3001316a(14) =10883485a(15) =39703635a(16) =145612770a(17) =536568150a(18) =1985612310a(19) =7376106210a(20) =27495861060a(21) =102820589820a(22) =385609643250

External references