Coefficients for expansion of (g(x)d/dx)^n g(x); refined Eulerian numbers for calculating compositional inverse of h(x) = (d/dx)^(-1) 1/g(x); iterated derivatives as infinitesimal generators of flows.

A145271

Coefficients for expansion of (g(x)d/dx)^n g(x); refined Eulerian numbers for calculating compositional inverse of h(x) = (d/dx)^(-1) 1/g(x); iterated derivatives as infinitesimal generators of flows.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =1a(5) =4a(6) =1a(7) =1a(8) =11a(9) =4a(10) =7a(11) =1a(12) =1a(13) =26a(14) =34a(15) =32a(16) =15a(17) =11a(18) =1a(19) =1a(20) =57a(21) =180a(22) =122a(23) =34a(24) =192a(25) =76a(26) =15a(27) =26a(28) =16a(29) =1

External references