Triangle where g.f. S = S(x,m) satisfies: S = x/(G(-S^2)*G(-m*S^2)) such that G(x) = 1 + x*G(x)^2 is the g.f. of the Catalan numbers (A000108), as read by rows of coefficients T(n,k) of x^(2*n-1)*m^k in S(x,m) for n>=1, k=0..n-1.
A278880
Triangle where g.f. S = S(x,m) satisfies: S = x/(G(-S^2)*G(-m*S^2)) such that G(x) = 1 + x*G(x)^2 is the g.f. of the Catalan numbers (A000108), as read by rows of coefficients T(n,k) of x^(2*n-1)*m^k in S(x,m) for n>=1, k=0..n-1.
Terms
- a(0) =1a(1) =1a(2) =1a(3) =1a(4) =5a(5) =1a(6) =1a(7) =14a(8) =14a(9) =1a(10) =1a(11) =30a(12) =81a(13) =30a(14) =1a(15) =1a(16) =55a(17) =308a(18) =308a(19) =55a(20) =1a(21) =1a(22) =91a(23) =910a(24) =1872a(25) =910a(26) =91a(27) =1a(28) =1a(29) =140
External references
- oeis: A278880