9/18/2023 0 Comments Important number sequences![]() ![]() In the rest of this article I will first say more about the evolution of the database: the Handbook, the 1995 Encyclopedia, the On-Line Encyclopedia, and the OEIS Foundation. I waited a year, until it had doubled in size, and then put it on the internet, calling it the On-Line Encyclopedia of Integer Sequences. From this point on, the collection grew even more rapidly. ![]() ![]() Simon Plouffe helped a great deal, and in 1995, Academic Press published our sequel, The Encyclopedia of Integer Sequences, with 5487 entries. Once the book appeared, the flood of correspondence increased, and it took 20 years to prepare the next version. In 1973, I formalized the collection as A Handbook of Integer Sequences, which was published by Academic Press (Figure 2). Richard Guy was an enthusiastic supporter right from the start. The collection grew rapidly as I searched through more books, and once the word got out, people started sending me sequences. I expected to have to analyze many related sequences, so in order to keep track of the sequences in these books, I started recording them on \(3" \times \, 5"\) file cards. I noticed that although several books in the Cornell library contained sequences somewhat similar to mine, as far as I could tell, this particular sequence was not mentioned. I had encountered a sequence of numbers, \(1, 8, 78, 944, 13800, \ldots \), and I badly needed a formula for the nth term in order to determine the rate of growth of the sequence (this would indicate how long the activity in this very simple neural network would persist). My fascination with these sequences began in 1964 when I was a graduate student at Cornell University, in Ithaca, New York, studying neural networks. ![]()
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