Document Type
Article
Publication Date
2013
Abstract
We analyze congruence classes of S(n,k), the Stirling numbers of the second kind, modulo powers of 2. This analysis provides insight into a conjecture posed by Amdeberhan, Manna and Moll, which those authors established for k at most 5. We provide a framework that can be used to justify the conjecture by computational means, which we then complete for values of k between 5 and 20.
Original Publication Citation
B. Bennett & E. Mosteig, Congruence classes of 2-adic valuations of Stirling numbers of the second kind, Journal of Integer Sequences, 16, no. 3, (2013), Article 13.3.6.
Publisher Statement
© The Authors 2013.
Digital Commons @ LMU & LLS Citation
Bennett, Curtis and Mosteig, Edward, "Congruence Classes of 2-adic Valuations of Stirling Numbers of the Second Kind" (2013). Mathematics, Statistics and Data Science Faculty Works. 106.
https://digitalcommons.lmu.edu/math_fac/106
