% Two pages that follow the index\input gkpmac\pageno=657\titletrue\subhead List of Tables{\obeylines \def\\{\qquad}Sums and differences\\55Pascal's triangle\\155Pascal's triangle extended upward\\164Sums of products of binomial coefficients\\169The top ten binomial coefficient identities\\174General convolution identities\\202Stirling's triangle for subsets\\258Stirling's triangle for cycles\\259Basic Stirling number identities\\264Additional Stirling number identities\\265Stirling's triangles in tandem\\267Euler's triangle\\268Second-order Eulerian triangle\\270Stirling convolution formulas\\272Generating function manipulations\\334Simple sequences and their generating functions\\335Generating functions for special numbers\\351Asymptotic approximations\\452}\vfill%\eject\titletrue\noindent THIS BOOK was composed at Stanford University using the\TeX\ system for technical text developed by D.\thinspace E. Knuth.The mathematics is set in a new typeface called AMS~Euler (Version~2.1),designed by Hermann Zapf for the American Mathematical Society.The text is set in a new typeface called Concrete Roman and Italic,a special version of Knuth's Computer Modern family with weights designed toblend with AMS~Euler. The paper is 50-lb.-basis Clearfield Opaque, whichhas a neutral pH and a life expectancy of several hundred years.The offset printing and notch binding were done by Halliday LithographCorporation in Hanover, Massachusetts.\eject\bye