G.f. A(x) = F(0,x) where F(0,x) = 1/(1 - x*F(1,x)), F(1,x) = 1/(1 - (2*x*F(2,x))^2)^(1/2), F(2,x) = 1/(1 - (3*x*F(3,x))^3)^(1/3), ..., so that F(n-1,x)^n = 1/(1 - (n*x*F(n,x))^n) for n>=0.
A243161
G.f. A(x) = F(0,x) where F(0,x) = 1/(1 - x*F(1,x)), F(1,x) = 1/(1 - (2*x*F(2,x))^2)^(1/2), F(2,x) = 1/(1 - (3*x*F(3,x))^3)^(1/3), ..., so that F(n-1,x)^n = 1/(1 - (n*x*F(n,x))^n) for n>=0.
Terms
- a(0) =1a(1) =1a(2) =1a(3) =3a(4) =5a(5) =13a(6) =61a(7) =133a(8) =449a(9) =1825a(10) =11497a(11) =29905a(12) =121529a(13) =613121a(14) =3192553a(15) =26963653a(16) =76748369a(17) =367110269a(18) =2101537105a(19) =13742608029a(20) =90490605353a(21) =966603833657
External references
- oeis: A243161