History of Backward differentiation formula coefficients

 Title: Backward differentiation formula coefficients-Definition: The backward differentiation formula (BDF) coefficients are the rationals-  $\alpha_{s,j}$ and $\beta_s$ for which $\sum_{j=0}^{s}\alpha_{s,j}y_{n+j}=h\beta_s-  f(t_{n+s},y_{n+s})$ is the $s$-step linear multistep method of order $s$ CITE{Wiki}.-  For each $s$ the method is unique up to a common factor, and the table holds the-  two normalisations $\alpha_{s,s}=1$ and $\beta_s=1$.+Definition: The backward differentiation formula (BDF) coefficients are the order-$s$+  linear multistep coefficients $\alpha_{s,j}$ and $\beta_s$ in $\sum_{j=0}^{s}\alpha_{s,j}y_{n+j}=h\beta_s+  f(t_{n+s},y_{n+s})$ CITE{Wiki}, stored with either $\alpha_{s,s}=1$ or $\beta_s=1$. Parameters:   s: