A Conjectured Integer Sequence Arising From the Exponential Integral

Richard P. Brent, M. L. Glasser, Anthony J. Guttmann

Let $f_0(z)=\exp (z/(1-z))$, $f_1(z)=\exp (1/(1-z))E_1(1/(1-z))$, where $E_1(x)={\int }_x^{\infty }{e}^{-t}{t}^{-1}dt$. Let $a_n=[z^n]f_0(z)$ and $b_n=[z^n]f_1(z)$ be the corres…