Irregular triangle, read by rows: Coefficients of the polynomials P_n, n>=2 such that the series f(x) = c + c(x-c) + Sum_{n>=2} P_n(c)/c^((n-1)*(n+2)/2+1) (x-c)^n/n! satisfies f(c) = c and f'(f(x)) = x near the fixed point c in (0,oo).

A375720

Irregular triangle, read by rows: Coefficients of the polynomials P_n, n>=2 such that the series f(x) = c + c(x-c) + Sum_{n>=2} P_n(c)/c^((n-1)*(n+2)/2+1) (x-c)^n/n! satisfies f(c) = c and f'(f(x)) = x near the fixed point c in (0,oo).

Terms

    a(0) =1a(1) =-1a(2) =1a(3) =3a(4) =-1a(5) =-3a(6) =-10a(7) =-15a(8) =1a(9) =3a(10) =10a(11) =30a(12) =55a(13) =105a(14) =105a(15) =-1a(16) =-3a(17) =-10a(18) =-30a(19) =-76a(20) =-168a(21) =-350a(22) =-630a(23) =-910a(24) =-1260a(25) =-945a(26) =1a(27) =3a(28) =10a(29) =30

External references