February 1994
Intermediate to advanced
672 pages
18h 51m
English
Sums and differences 55
Pascal’s triangle 155
Pascal’s triangle extended upward 164
Sums of products of binomial coefficients 169
The top ten binomial coefficient identities 174
General convolution identities 202
Stirling’s triangle for subsets 258
Stirling’s triangle for cycles 259
Basic Stirling number identities 264
Additional Stirling number identities 265
Stirling’s triangles in tandem 267
Euler’s triangle 268
Second-order Eulerian triangle 270
Stirling convolution formulas 272
Generating function manipulations 334
Simple sequences and their generating functions 335
Generating functions for special numbers 351
Asymptotic approximations 452
This book was composed at Stanford University using the TEX system for technical text ...