As you read in the book, the details will be brought about as they came to me throughout the 50 years or so. I guess the catalyst of this book was the one statement made to the class (HS) around 1962 or 1963 when a binomial is expanded to its power, there will be one more number of terms than the exponent number . This book Dynamic Distributions of Binomials will show you what I found to be a useful paradigm. "