Triangular array T(n, k) read by rows: polynomials for the series expansion of the iterated function F^{t}(x) = Sum_{n>=0} (1/x)^(2*n-1)*P_n(t)/n! with F^{1}(x) = (x + sqrt(x^2 + 4))/2 and F^{2}(x) = F^{1}(F^{1}(x)). Row n of the triangle give the coefficients of the polynomial P_n(t).
A390822
Triangular array T(n, k) read by rows: polynomials for the series expansion of the iterated function F^{t}(x) = Sum_{n>=0} (1/x)^(2*n-1)*P_n(t)/n! with F^{1}(x) = (x + sqrt(x^2 + 4))/2 and F^{2}(x) = F^{1}(F^{1}(x)). Row n of the triangle give the coefficients of the polynomial P_n(t).
Terms
- a(0) =1a(1) =0a(2) =1a(3) =0a(4) =-1a(5) =-1a(6) =0a(7) =3a(8) =6a(9) =3a(10) =0a(11) =-14a(12) =-45a(13) =-46a(14) =-15a(15) =0a(16) =80a(17) =400a(18) =655a(19) =440a(20) =105a(21) =0a(22) =-468a(23) =-3900a(24) =-9585a(25) =-10275a(26) =-5067a(27) =-945a(28) =0a(29) =2268
External references
- oeis: A390822