G.f.: Sum_{n>=0} x^(n^2) * C(x^n)^n, where C(x) = 1 + x*C(x)^2 is the g.f. of the Catalan numbers (A000108).
A299042
G.f.: Sum_{n>=0} x^(n^2) * C(x^n)^n, where C(x) = 1 + x*C(x)^2 is the g.f. of the Catalan numbers (A000108).
Terms
- a(0) =1a(1) =1a(2) =1a(3) =2a(4) =6a(5) =14a(6) =44a(7) =132a(8) =434a(9) =1431a(10) =4876a(11) =16796a(12) =58831a(13) =208012a(14) =743032a(15) =2674449a(16) =9695275a(17) =35357670a(18) =129646248a(19) =477638700a(20) =1767268056a(21) =6564120510a(22) =24466283816a(23) =91482563640a(24) =343059672747
External references
- oeis: A299042