Document Type

Article

Publication Date

5-17-2021

Publication Title

Journal of Integer Sequences

Abstract

We determine properties of the 2-adic valuation sequences for general quadratic polynomials with integer coefficients directly from the coefficients. These properties include boundedness or unboundedness, periodicity, and valuations at terminating nodes. We completely describe the periodic sequences in the bounded case. Throughout, we frame results in terms of trees and sequences.

Volume

24

Issue

6

ISSN

1530-7638

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Mathematics Commons

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