Disquisitiones Arithmeticae and online sequence A The elements of B are the entries 0, 1, 2, 3, 5, 7, … Expand. Some enumerative results related to ascent sequences. Computer Science, Mathematics. Highly Influenced. View 3 excerpts, cites background. An offset at which a word can overlap itself is called a period. Therefore, any word of length n has a … Expand. View 5 excerpts, cites background. Eight hateful sequences.
Experimental methods applied to the computation of integer sequences. We apply techniques of experimental mathematics to certain problems in number theory and combinatorics. The goal in each case is to understand certain integer sequences, where foremost we are … Expand. Fibonacci-like sequences and shift spaces in symbolic dynamics. Modern technology and, more in general, modern society, relay on computer systems in which information is processed and represented in form of binary strings.
The problem of transmission and storage … Expand. View 2 excerpts, cites background. Neil J. Visiting Scholar, Rutgers University. We all recognize 0, 1, 1, 2, 3, L'Encyclopedie en ligne des suites de nombres entiers. This paper describes an experimental mathematics project aimed at mining the.
As a direct source of new theorems, when a sequence arises in two different contexts. As a source of new research, when one sees a sequence in the OEIS that cries out to be analyzed.
The year history of the OEIS recapitulates the story of modern computing, from punched cards to the internet. The talk will be illustrated with numerous examples, emphasizing new sequences that have arrived in the past few months. Many open problems will be mentioned. Because of the profusion of books and journals, volunteers play an important role in maintaining the database.
We propose and discuss several simple ways of obtaining new enumerative sequences from existing ones. For instance, the number of graphs considered up to the action of an involutory transformation is … Expand. Stirling numbers interpolation using permutations with forbidden subsequences. We present a family of number sequences which interpolates between the sequences Bn; of Bell numbers, and n!. It is de3ned in terms of permutations with forbidden patterns or subsequences.
The … Expand. On sequences of integers generated by a sieving process. Introduction The Sieve of Erathostenes is an algorithm which yields the sequence of all primes.
This paper deals with a family of somewhat similar algorithm s for creating sequences of integers … Expand. View 1 excerpt, references background. A remarkable array of numbers was introduced in by Kenneth B. Its first row consists of the Fibonacci numbers; the subsequent rows are all the other positive Fibonacci sequences, … Expand. Publisher Summary When playing Kalahari Kalaha, Owari, Bohnenspiel a move consists in taking all pebbles from a playing mould and distributing them one after the other to the following moulds.
If … Expand. Introduction to Combinatorial Analysis. This book introduces combinatorial analysis to the beginning student.
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