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 language | Undefined/Unknown |
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Journal | Journal of Integer Sequences |
Volume | 16 |
Issue number | 3 |
State | Published - 2013 |