a(n) = coefficient of x^n in A(x) = Sum_{n>=0} C(x)^n * (1 - C(x)^n)^n, where C(x) = x + C(x)^2 is a g.f. of the Catalan numbers (A000108).
A357792
a(n) = coefficient of x^n in A(x) = Sum_{n>=0} C(x)^n * (1 - C(x)^n)^n, where C(x) = x + C(x)^2 is a g.f. of the Catalan numbers (A000108).
Terms
- a(0) =1a(1) =1a(2) =1a(3) =3a(4) =7a(5) =20a(6) =60a(7) =189a(8) =613a(9) =2039a(10) =6918a(11) =23850a(12) =83315a(13) =294282a(14) =1049279a(15) =3771685a(16) =13653313a(17) =49730599a(18) =182130129a(19) =670274170a(20) =2477514172a(21) =9193599339a(22) =34237330355a(23) =127914531260a(24) =479318575375
External references
- oeis: A357792