Journal of Integer Sequences
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.
Boultinghouse, W.; Long, J.; Kozhushkina, O.; Trulen, J.; 2-adic Valuations of Quadratic Sequences, Journal of Integer Sequences, 24 (2021), 22. Available at https://cs.uwaterloo.ca/journals/JIS/VOL24/Trulen/trulen5.html