Numbers associated with Stirling numbers and $x^x$
Numbers associated with Stirling numbers and $x^x$
We discuss two infinite triganular matrices b(n, k) and B(n, k) of rational integers that are associated with the matrices s(n> k) and S(n, k) of the Stirling numbers of the first and second kind.The numbers b{n, k) were introduced in 1974 by Comtet in treating the nth derivative of …